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12100122202100 = 2252599253979561
BaseRepresentation
bin1011000000010100011101…
…1111000100111111110100
31120211202112022122221210212
42300011013133010333310
53041222022240431400
641422415220204552
72356130210463242
oct260050737047764
946752468587725
1012100122202100
1139456a6596179
121435102539758
1369a06261765a
142db912d6d792
1515eb42c48335
hexb01477c4ff4

12100122202100 has 72 divisors (see below), whose sum is σ = 26311789896000. Its totient is φ = 4830004857600.

The previous prime is 12100122202081. The next prime is 12100122202109. The reversal of 12100122202100 is 120222100121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100122202109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152046320 + ... + 152125880.

Almost surely, 212100122202100 is an apocalyptic number.

12100122202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100122202100 is an abundant number, since it is smaller than the sum of its proper divisors (14211667693900).

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

12100122202100 is a wasteful number, since it uses less digits than its factorization.

12100122202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82713 (or 82706 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12100122202100 its reverse (120222100121), we get a palindrome (12220344302221).

The spelling of 12100122202100 in words is "twelve trillion, one hundred billion, one hundred twenty-two million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 599 1198 2396 2539 2995 5078 5990 10156 11980 12695 14975 25390 29950 50780 59900 63475 79561 126950 159122 253900 318244 397805 795610 1520861 1591220 1989025 3041722 3978050 6083444 7604305 7956100 15208610 30417220 38021525 47657039 76043050 95314078 152086100 190628156 202005379 238285195 404010758 476570390 808021516 953140780 1010026895 1191425975 2020053790 2382851950 4040107580 4765703900 5050134475 10100268950 20200537900 121001222021 242002444042 484004888084 605006110105 1210012220210 2420024440420 3025030550525 6050061101050 12100122202100