101137279104 has 160 divisors (see below), whose sum is σ = 318688335900. Its totient is φ = 31729287168.

The previous prime is 101137279079. The next prime is 101137279127. The reversal of 101137279104 is 401972731101.

It can be written as a sum of positive squares in 2 ways, for example, as 100773232704 + 364046400 = 317448^2 + 19080^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 110649 + ... + 463160.

Almost surely, 2^101137279104 is an apocalyptic number.

It is an amenable number.

101137279104 is an abundant number, since it is smaller than the sum of its proper divisors (217551056796).

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

101137279104 is an equidigital number, since it uses as much as digits as its factorization.

101137279104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573852 (or 573831 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 101137279104 in words is "one hundred one billion, one hundred thirty-seven million, two hundred seventy-nine thousand, one hundred four".