101712726810 has 64 divisors (see below), whose sum is σ = 283026735360. Its totient is φ = 25944114240.

The previous prime is 101712726781. The next prime is 101712726823. The reversal of 101712726810 is 18627217101.

101712726810 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101712726810² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8183221 + ... + 8195640.

It is an arithmetic number, because the mean of its divisors is an integer number (4422292740).

Almost surely, 2^101712726810 is an apocalyptic number.

101712726810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101712726810 is an abundant number, since it is smaller than the sum of its proper divisors (181314008550).

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

101712726810 is a wasteful number, since it uses less digits than its factorization.

101712726810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16378900 (or 16378894 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 36.

The spelling of 101712726810 in words is "one hundred one billion, seven hundred twelve million, seven hundred twenty-six thousand, eight hundred ten".