102211210122100 has 72 divisors (see below), whose sum is σ = 225974553890400. Its totient is φ = 40117234262400.

The previous prime is 102211210122071. The next prime is 102211210122139. The reversal of 102211210122100 is 1221012112201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12819130 + ... + 19202929.

It is an arithmetic number, because the mean of its divisors is an integer number (3138535470700).

Almost surely, 2^{102211210122100} is an apocalyptic number.

102211210122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211210122100 is an abundant number, since it is smaller than the sum of its proper divisors (123763343768300).

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

102211210122100 is a wasteful number, since it uses less digits than its factorization.

102211210122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32022673 (or 32022666 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102211210122100 its reverse (1221012112201), we get a palindrome (103432222234301).

The spelling of 102211210122100 in words is "one hundred two trillion, two hundred eleven billion, two hundred ten million, one hundred twenty-two thousand, one hundred".