101311102100 has 36 divisors (see below), whose sum is σ = 236756255484. Its totient is φ = 37407175680.

The previous prime is 101311102069. The next prime is 101311102133. The reversal of 101311102100 is 1201113101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 33131536 + 101277970564 = 5756^2 + 318242^2 .

It is a congruent number.

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, 38964509 + ... + 38967108.

Almost surely, 2^101311102100 is an apocalyptic number.

101311102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101311102100 is an abundant number, since it is smaller than the sum of its proper divisors (135445153384).

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

101311102100 is a wasteful number, since it uses less digits than its factorization.

101311102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77931644 (or 77931637 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 101311102100 its reverse (1201113101), we get a palindrome (102512215201).

The spelling of 101311102100 in words is "one hundred one billion, three hundred eleven million, one hundred two thousand, one hundred".