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121121101122021 = 33711135333840331
BaseRepresentation
bin11011100010100010110100…
…001101010000100111100101
3120212212001201210022212101000
4123202202310031100213211
5111333422003341401041
61105334133220423513
734340465540403660
oct3342426415204745
9525761653285330
10121121101122021
1135658196a65520
12117020b7847b99
135277894a64160
1421ca414b706d7
15e0098787abb6
hex6e28b43509e5

121121101122021 has 128 divisors (see below), whose sum is σ = 240970108538880. Its totient is φ = 58069088697600.

The previous prime is 121121101122017. The next prime is 121121101122023. The reversal of 121121101122021 is 120221101121121.

It is a happy number.

121121101122021 is a `hidden beast` number, since 1 + 211 + 211 + 0 + 1 + 1 + 220 + 21 = 666.

It is not a de Polignac number, because 121121101122021 - 22 = 121121101122017 is a prime.

It is a super-2 number, since 2×1211211011220212 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121121101121985 and 121121101122003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121121101122023) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 143714826 + ... + 144555156.

It is an arithmetic number, because the mean of its divisors is an integer number (1882578972960).

Almost surely, 2121121101122021 is an apocalyptic number.

121121101122021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121121101122021 is a deficient number, since it is larger than the sum of its proper divisors (119849007416859).

121121101122021 is a wasteful number, since it uses less digits than its factorization.

121121101122021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845704 (or 845698 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121121101122021 its reverse (120221101121121), we get a palindrome (241342202243142).

The spelling of 121121101122021 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, one hundred one million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 91 99 117 143 189 231 273 297 351 429 693 819 1001 1287 2079 2457 3003 3861 5333 9009 15999 27027 37331 47997 58663 69329 111993 143991 175989 207987 335979 410641 485303 527967 623961 762619 840331 1007937 1231923 1455909 1583901 1871883 2287857 2520993 3695769 4367727 5338333 5882317 6863571 7562979 9243641 10924303 11087307 13103181 16014999 17646951 20590713 22688937 27730923 32772909 48044997 52940853 64705487 76470121 83192769 98318727 120167333 144134991 158822559 194116461 229410363 249578307 294956181 360501999 582349383 688231089 841171331 1081505997 1747048149 2064693267 2523513993 3244517991 4481485223 7570541979 13444455669 22711625937 31370396561 40333367007 49296337453 58259307899 94111189683 121000101021 147889012359 174777923697 282333569049 345074362171 407815155293 443667037077 524333771091 640852386889 847000707147 1035223086513 1223445465879 1331001111231 1573001313273 1922557160667 3105669259539 3670336397637 4485966708223 5767671482001 9317007778617 11011009192911 13457900124669 17303014446003 40373700374007 121121101122021