101976313152 has 168 divisors, whose sum is σ = 332326390464. Its totient is φ = 27422158848.

The previous prime is 101976313111. The next prime is 101976313183. The reversal of 101976313152 is 251313679101.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 101976313152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158868 + ... + 478739.

Almost surely, 2^101976313152 is an apocalyptic number.

101976313152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101976313152 is an abundant number, since it is smaller than the sum of its proper divisors (230350077312).

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

101976313152 is a wasteful number, since it uses less digits than its factorization.

101976313152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637653 (or 637636 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The spelling of 101976313152 in words is "one hundred one billion, nine hundred seventy-six million, three hundred thirteen thousand, one hundred fifty-two".