102121012202112 has 96 divisors (see below), whose sum is σ = 294047865439380. Its totient is φ = 34019021611008.

The previous prime is 102121012202071. The next prime is 102121012202117. The reversal of 102121012202112 is 211202210121201.

102121012202112 is a `hidden beast` number, since 1 + 0 + 21 + 210 + 1 + 220 + 211 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92165068869696 + 9955943332416 = 9600264^2 + 3155304^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×102121012202112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102121012202117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25914393 + ... + 29593880.

Almost surely, 2^{102121012202112} is an apocalyptic number.

102121012202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102121012202112 is an abundant number, since it is smaller than the sum of its proper divisors (191926853237268).

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

102121012202112 is a wasteful number, since it uses less digits than its factorization.

102121012202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55509890 (or 55509875 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102121012202112 its reverse (211202210121201), we get a palindrome (313323222323313).

The spelling of 102121012202112 in words is "one hundred two trillion, one hundred twenty-one billion, twelve million, two hundred two thousand, one hundred twelve".