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121022101001020 = 225431931303559583
BaseRepresentation
bin11011100001000110100111…
…010101110001001100111100
3120212111121012022010122020211
4123201012213111301030330
5111330311230324013040
61105220441412322204
734330362324303412
oct3341064725611474
9525447168118224
10121022101001020
113561a203a802aa
12116a6a88913364
13526b44844b7bb
1421c57028292b2
15ded0e12eb8ea
hex6e11a757133c

121022101001020 has 96 divisors (see below), whose sum is σ = 261605323026432. Its totient is φ = 47001879687168.

The previous prime is 121022101000967. The next prime is 121022101001029. The reversal of 121022101001020 is 20100101220121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121022101001029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215992149 + ... + 216551731.

It is an arithmetic number, because the mean of its divisors is an integer number (2725055448192).

Almost surely, 2121022101001020 is an apocalyptic number.

121022101001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121022101001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130802661513216).

121022101001020 is an abundant number, since it is smaller than the sum of its proper divisors (140583222025412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121022101001020 is a wasteful number, since it uses less digits than its factorization.

121022101001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561131 (or 561129 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 121022101001020 its reverse (20100101220121), we get a palindrome (141122202221141).

The spelling of 121022101001020 in words is "one hundred twenty-one trillion, twenty-two billion, one hundred one million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 193 215 386 430 772 860 965 1303 1930 2606 3860 5212 6515 8299 13030 16598 26060 33196 41495 56029 82990 112058 165980 224116 251479 280145 502958 559583 560290 1005916 1119166 1120580 1257395 2238332 2514790 2797915 5029580 5595830 10813597 11191660 21627194 24062069 43254388 48124138 54067985 96248276 107999519 108135970 120310345 215999038 216271940 240620690 431998076 481241380 539997595 729136649 1079995190 1458273298 2159990380 2916546596 3645683245 4643979317 7291366490 9287958634 14582732980 18575917268 23219896585 31352875907 46439793170 62705751814 92879586340 125411503628 140723373257 156764379535 281446746514 313528759070 562893493028 627057518140 703616866285 1407233732570 2814467465140 6051105050051 12102210100102 24204420200204 30255525250255 60511050500510 121022101001020