101138304320 has 56 divisors (see below), whose sum is σ = 240939562824. Its totient is φ = 40437856256.

The previous prime is 101138304283. The next prime is 101138304341. The reversal of 101138304320 is 23403831101.

It can be written as a sum of positive squares in 4 ways, for example, as 10628785216 + 90509519104 = 103096^2 + 300848^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101138304320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 687194 + ... + 821286.

Almost surely, 2^101138304320 is an apocalyptic number.

101138304320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101138304320 is an abundant number, since it is smaller than the sum of its proper divisors (139801258504).

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

101138304320 is a wasteful number, since it uses less digits than its factorization.

101138304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136467 (or 136457 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 101138304320 in words is "one hundred one billion, one hundred thirty-eight million, three hundred four thousand, three hundred twenty".