102212220110100 has 72 divisors (see below), whose sum is σ = 295741579431648. Its totient is φ = 27255895632000.

The previous prime is 102212220110081. The next prime is 102212220110123. The reversal of 102212220110100 is 1011022212201.

It is a super-2 number, since 2×102212220110100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102212220110100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7462275 + ... + 16127925.

Almost surely, 2^{102212220110100} is an apocalyptic number.

102212220110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212220110100 is an abundant number, since it is smaller than the sum of its proper divisors (193529359321548).

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

102212220110100 is a wasteful number, since it uses less digits than its factorization.

102212220110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8704985 (or 8704978 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102212220110100 its reverse (1011022212201), we get a palindrome (103223242322301).

The spelling of 102212220110100 in words is "one hundred two trillion, two hundred twelve billion, two hundred twenty million, one hundred ten thousand, one hundred".