102212211002112 has 108 divisors (see below), whose sum is σ = 299697969010440. Its totient is φ = 33493266837504.

The previous prime is 102212211002107. The next prime is 102212211002113. The reversal of 102212211002112 is 211200112212201.

102212211002112 is a `hidden beast` number, since 1 + 0 + 221 + 221 + 10 + 0 + 211 + 2 = 666.

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 (102212211002113) 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, 375821173 + ... + 376093044.

Almost surely, 2^{102212211002112} is an apocalyptic number.

102212211002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102212211002112 is an abundant number, since it is smaller than the sum of its proper divisors (197485758008328).

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

102212211002112 is an equidigital number, since it uses as much as digits as its factorization.

102212211002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751914298 (or 751914281 counting only the distinct ones).

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

Adding to 102212211002112 its reverse (211200112212201), we get a palindrome (313412323214313).

The spelling of 102212211002112 in words is "one hundred two trillion, two hundred twelve billion, two hundred eleven million, two thousand, one hundred twelve".