102202011122112 has 336 divisors, whose sum is σ = 323289236275200. Its totient is φ = 30612156180480.

The previous prime is 102202011122087. The next prime is 102202011122131. The reversal of 102202011122112 is 211221110202201.

102202011122112 is a `hidden beast` number, since 1 + 0 + 220 + 201 + 11 + 221 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 216220689 + ... + 216692847.

Almost surely, 2^{102202011122112} is an apocalyptic number.

102202011122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102202011122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161644618137600).

102202011122112 is an abundant number, since it is smaller than the sum of its proper divisors (221087225153088).

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

102202011122112 is a wasteful number, since it uses less digits than its factorization.

102202011122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472584 (or 472571 counting only the distinct ones).

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

Adding to 102202011122112 its reverse (211221110202201), we get a palindrome (313423121324313).

The spelling of 102202011122112 in words is "one hundred two trillion, two hundred two billion, eleven million, one hundred twenty-two thousand, one hundred twelve".