102112122102100 has 144 divisors (see below), whose sum is σ = 265512761095680. Its totient is φ = 33647930236800.

The previous prime is 102112122101917. The next prime is 102112122102127. The reversal of 102112122102100 is 1201221211201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105731202 + ... + 106692601.

It is an arithmetic number, because the mean of its divisors is an integer number (1843838618720).

Almost surely, 2^{102112122102100} is an apocalyptic number.

102112122102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112122102100 is an abundant number, since it is smaller than the sum of its proper divisors (163400638993580).

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

102112122102100 is a wasteful number, since it uses less digits than its factorization.

102112122102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212423870 (or 212423863 counting only the distinct ones).

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

Adding to 102112122102100 its reverse (1201221211201), we get a palindrome (103313343313301).

The spelling of 102112122102100 in words is "one hundred two trillion, one hundred twelve billion, one hundred twenty-two million, one hundred two thousand, one hundred".