101312976960 has 896 divisors, whose sum is σ = 412498275840. Its totient is φ = 23187161088.

The previous prime is 101312976953. The next prime is 101312976967. The reversal of 101312976960 is 69679213101.

It is an interprime number because it is at equal distance from previous prime (101312976953) and next prime (101312976967).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (101312976967) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 185215407 + ... + 185215953.

It is an arithmetic number, because the mean of its divisors is an integer number (460377540).

Almost surely, 2^101312976960 is an apocalyptic number.

101312976960 is a gapful number since it is divisible by the number (10) 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 101312976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206249137920).

101312976960 is an abundant number, since it is smaller than the sum of its proper divisors (311185298880).

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

101312976960 is a wasteful number, since it uses less digits than its factorization.

101312976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 101312976960 in words is "one hundred one billion, three hundred twelve million, nine hundred seventy-six thousand, nine hundred sixty".