101202013432100 has 54 divisors (see below), whose sum is σ = 255462796775970. Its totient is φ = 34697833175040.

The previous prime is 101202013432063. The next prime is 101202013432111. The reversal of 101202013432100 is 1234310202101.

It can be written as a sum of positive squares in 3 ways, for example, as 233600155684 + 100968413276416 = 483322^2 + 10048304^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10326731165 + ... + 10326740964.

Almost surely, 2^{101202013432100} is an apocalyptic number.

101202013432100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101202013432100 is an abundant number, since it is smaller than the sum of its proper divisors (154260783343870).

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

101202013432100 is a wasteful number, since it uses less digits than its factorization.

101202013432100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20653472157 (or 20653472143 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 101202013432100 its reverse (1234310202101), we get a palindrome (102436323634201).

The spelling of 101202013432100 in words is "one hundred one trillion, two hundred two billion, thirteen million, four hundred thirty-two thousand, one hundred".