102212123131200 has 168 divisors, whose sum is σ = 335807351061120. Its totient is φ = 27218656256000.

The previous prime is 102212123131187. The next prime is 102212123131309. The reversal of 102212123131200 is 2131321212201.

It is a super-2 number, since 2×102212123131200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11357001 + ... + 18259400.

Almost surely, 2^{102212123131200} is an apocalyptic number.

102212123131200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212123131200 is an abundant number, since it is smaller than the sum of its proper divisors (233595227929920).

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

102212123131200 is a wasteful number, since it uses less digits than its factorization.

102212123131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29617145 (or 29617130 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 102212123131200 its reverse (2131321212201), we get a palindrome (104343444343401).

The spelling of 102212123131200 in words is "one hundred two trillion, two hundred twelve billion, one hundred twenty-three million, one hundred thirty-one thousand, two hundred".