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1121201011021 = 71325317999901
BaseRepresentation
bin10000010100001100110…
…010011011100101001101
310222012000102111201101011
4100110030302123211031
5121332204424323041
62215023404445221
7144001256230210
oct20241462334515
93865012451334
101121201011021
113a2553817403
12161367b49811
138196223c600
143c3a30a3777
151e271da6e81
hex1050cc9b94d

1121201011021 has 48 divisors (see below), whose sum is σ = 1421613452160. Its totient is φ = 865495238400.

The previous prime is 1121201010991. The next prime is 1121201011039. The reversal of 1121201011021 is 1201101021211.

It is a happy number.

It is not a de Polignac number, because 1121201011021 - 219 = 1121200486733 is a prime.

It is a super-2 number, since 2×11212010110212 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1121201010992 and 1121201011010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121201011321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11173171 + ... + 11273071.

It is an arithmetic number, because the mean of its divisors is an integer number (29616946920).

Almost surely, 21121201011021 is an apocalyptic number.

It is an amenable number.

1121201011021 is a deficient number, since it is larger than the sum of its proper divisors (300412441139).

1121201011021 is a wasteful number, since it uses less digits than its factorization.

1121201011021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100166 (or 100153 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1121201011021 its reverse (1201101021211), we get a palindrome (2322302032232).

The spelling of 1121201011021 in words is "one trillion, one hundred twenty-one billion, two hundred one million, eleven thousand, twenty-one".

Divisors: 1 7 13 53 91 169 179 371 689 1183 1253 2327 4823 8957 9487 16289 30251 62699 66409 99901 123331 211757 699307 863317 1298713 1603303 5294753 9090991 11223121 16883269 17882279 37063271 68831789 118182883 125175953 232469627 481822523 894813257 947760787 1627287389 3022105151 6263692799 6634325509 12320890231 21154736057 86246231617 160171573003 1121201011021