102111333122100 has 72 divisors (see below), whose sum is σ = 295469659668960. Its totient is φ = 27227150967680.

The previous prime is 102111333122087. The next prime is 102111333122233. The reversal of 102111333122100 is 1221333111201.

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 23 ways as a sum of consecutive naturals, for example, 12636390 + ... + 19076189.

It is an arithmetic number, because the mean of its divisors is an integer number (4103745273180).

Almost surely, 2^{102111333122100} is an apocalyptic number.

102111333122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111333122100 is an abundant number, since it is smaller than the sum of its proper divisors (193358326546860).

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

102111333122100 is a wasteful number, since it uses less digits than its factorization.

102111333122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31723329 (or 31723322 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 102111333122100 its reverse (1221333111201), we get a palindrome (103332666233301).

The spelling of 102111333122100 in words is "one hundred two trillion, one hundred eleven billion, three hundred thirty-three million, one hundred twenty-two thousand, one hundred".