101200002000100 has 36 divisors (see below), whose sum is σ = 219610471229044. Its totient is φ = 40478808746880.

The previous prime is 101200001999963. The next prime is 101200002000131. The reversal of 101200002000100 is 1000200002101.

It can be written as a sum of positive squares in 6 ways, for example, as 3333341153536 + 97866660846564 = 1825744^2 + 9892758^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11483967 + ... + 18283366.

Almost surely, 2^{101200002000100} is an apocalyptic number.

101200002000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200002000100 is an abundant number, since it is smaller than the sum of its proper divisors (118410469228944).

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

101200002000100 is a wasteful number, since it uses less digits than its factorization.

101200002000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29801344 (or 29801337 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 101200002000100 its reverse (1000200002101), we get a palindrome (102200202002201).

The spelling of 101200002000100 in words is "one hundred one trillion, two hundred billion, two million, one hundred", and thus it is an aban number.