102200022102222 has 64 divisors (see below), whose sum is σ = 247961211724800. Its totient is φ = 30944255869440.

The previous prime is 102200022102173. The next prime is 102200022102247. The reversal of 102200022102222 is 222201220002201.

102200022102222 is a `hidden beast` number, since 1 + 0 + 220 + 0 + 0 + 221 + 0 + 2 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102200022102195 and 102200022102204.

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 31 ways as a sum of consecutive naturals, for example, 69964822 + ... + 71410617.

It is an arithmetic number, because the mean of its divisors is an integer number (3874393933200).

Almost surely, 2^{102200022102222} is an apocalyptic number.

102200022102222 is an abundant number, since it is smaller than the sum of its proper divisors (145761189622578).

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

102200022102222 is a wasteful number, since it uses less digits than its factorization.

102200022102222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141376678 (or 141376672 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102200022102222 its reverse (222201220002201), we get a palindrome (324401242104423).

The spelling of 102200022102222 in words is "one hundred two trillion, two hundred billion, twenty-two million, one hundred two thousand, two hundred twenty-two".