102210011000112 has 80 divisors (see below), whose sum is σ = 278842188457728. Its totient is φ = 32196064200960.

The previous prime is 102210011000107. The next prime is 102210011000113. The reversal of 102210011000112 is 211000110012201.

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

It is not an unprimeable number, because it can be changed into a prime (102210011000113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 557628439 + ... + 557811702.

Almost surely, 2^{102210011000112} is an apocalyptic number.

102210011000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102210011000112 is an abundant number, since it is smaller than the sum of its proper divisors (176632177457616).

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

102210011000112 is a wasteful number, since it uses less digits than its factorization.

102210011000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115440258 (or 1115440252 counting only the distinct ones).

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

Adding to 102210011000112 its reverse (211000110012201), we get a palindrome (313210121012313).

The spelling of 102210011000112 in words is "one hundred two trillion, two hundred ten billion, eleven million, one hundred twelve", and thus it is an aban number.