101391627904 has 192 divisors, whose sum is σ = 247648492800. Its totient is φ = 41146828800.

The previous prime is 101391627847. The next prime is 101391627929. The reversal of 101391627904 is 409726193101.

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 23 ways as a sum of consecutive naturals, for example, 14566377 + ... + 14573335.

It is an arithmetic number, because the mean of its divisors is an integer number (1289835900).

Almost surely, 2^101391627904 is an apocalyptic number.

101391627904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101391627904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123824246400).

101391627904 is an abundant number, since it is smaller than the sum of its proper divisors (146256864896).

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

101391627904 is a wasteful number, since it uses less digits than its factorization.

101391627904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7111 (or 7092 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The spelling of 101391627904 in words is "one hundred one billion, three hundred ninety-one million, six hundred twenty-seven thousand, nine hundred four".