102122122012100 has 36 divisors (see below), whose sum is σ = 224912542165584. Its totient is φ = 40239164491680.

The previous prime is 102122122012093. The next prime is 102122122012109. The reversal of 102122122012100 is 1210221221201.

It is not an unprimeable number, because it can be changed into a prime (102122122012109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7621047182 + ... + 7621060581.

Almost surely, 2^{102122122012100} is an apocalyptic number.

102122122012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122122012100 is an abundant number, since it is smaller than the sum of its proper divisors (122790420153484).

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

102122122012100 is a wasteful number, since it uses less digits than its factorization.

102122122012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15242107844 (or 15242107837 counting only the distinct ones).

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

Adding to 102122122012100 its reverse (1210221221201), we get a palindrome (103332343233301).

The spelling of 102122122012100 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twenty-two million, twelve thousand, one hundred".