102212201122100 has 18 divisors (see below), whose sum is σ = 221800476435174. Its totient is φ = 40884880448800.

The previous prime is 102212201122069. The next prime is 102212201122147. The reversal of 102212201122100 is 1221102212201.

It can be written as a sum of positive squares in 3 ways, for example, as 120010973476 + 102092190148624 = 346426^2 + 10104068^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 511061005511 + ... + 511061005710.

It is an arithmetic number, because the mean of its divisors is an integer number (12322248690843).

Almost surely, 2^{102212201122100} is an apocalyptic number.

102212201122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212201122100 is an abundant number, since it is smaller than the sum of its proper divisors (119588275313074).

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

102212201122100 is a wasteful number, since it uses less digits than its factorization.

102212201122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022122011235 (or 1022122011228 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102212201122100 its reverse (1221102212201), we get a palindrome (103433303334301).

The spelling of 102212201122100 in words is "one hundred two trillion, two hundred twelve billion, two hundred one million, one hundred twenty-two thousand, one hundred".