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12101011202100 = 22352101399373307
BaseRepresentation
bin1011000000010111110001…
…1110010110000000110100
31120211211211021110211112210
42300011330132112000310
53041230332331431400
641423043334413420
72356161224036052
oct260057436260064
946754737424483
1012101011202100
113946012395017
121435310201270
1369a17485c262
142db9990651d2
1515eb95d00950
hexb017c796034

12101011202100 has 72 divisors (see below), whose sum is σ = 35358915197088. Its totient is φ = 3194986448000.

The previous prime is 12101011202047. The next prime is 12101011202149. The reversal of 12101011202100 is 120211010121.

It is a super-2 number, since 2×121010112021002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199656354 + ... + 199716953.

It is an arithmetic number, because the mean of its divisors is an integer number (491096044404).

Almost surely, 212101011202100 is an apocalyptic number.

12101011202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101011202100 is an abundant number, since it is smaller than the sum of its proper divisors (23257903994988).

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

12101011202100 is a wasteful number, since it uses less digits than its factorization.

12101011202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399373425 (or 399373418 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12101011202100 its reverse (120211010121), we get a palindrome (12221222212221).

The spelling of 12101011202100 in words is "twelve trillion, one hundred one billion, eleven million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1515 2020 2525 3030 5050 6060 7575 10100 15150 30300 399373307 798746614 1198119921 1597493228 1996866535 2396239842 3993733070 4792479684 5990599605 7987466140 9984332675 11981199210 19968665350 23962398420 29952998025 39937330700 40336704007 59905996050 80673408014 119811992100 121010112021 161346816028 201683520035 242020224042 403367040070 484040448084 605050560105 806734080140 1008417600175 1210101120210 2016835200350 2420202240420 3025252800525 4033670400700 6050505601050 12101011202100