101725633130 has 64 divisors (see below), whose sum is σ = 204391382400. Its totient is φ = 36140179200.

The previous prime is 101725633109. The next prime is 101725633159. The reversal of 101725633130 is 31336527101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 948917 + ... + 1050663.

It is an arithmetic number, because the mean of its divisors is an integer number (3193615350).

Almost surely, 2^101725633130 is an apocalyptic number.

101725633130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101725633130 is an abundant number, since it is smaller than the sum of its proper divisors (102665749270).

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

101725633130 is a wasteful number, since it uses less digits than its factorization.

101725633130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101975.

The product of its (nonzero) digits is 11340, while the sum is 32.

The spelling of 101725633130 in words is "one hundred one billion, seven hundred twenty-five million, six hundred thirty-three thousand, one hundred thirty".