101957720094720 has 1152 divisors, whose sum is σ = 419554244229120. Its totient is φ = 23262965268480.

The previous prime is 101957720094667. The next prime is 101957720094761. The reversal of 101957720094720 is 27490027759101.

101957720094720 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 577 + 2 + 0 + 0 + 9 + 47 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 10329011385 + ... + 10329021255.

It is an arithmetic number, because the mean of its divisors is an integer number (364196392560).

Almost surely, 2^{101957720094720} is an apocalyptic number.

101957720094720 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 101957720094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209777122114560).

101957720094720 is an abundant number, since it is smaller than the sum of its proper divisors (317596524134400).

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

101957720094720 is an frugal number, since it uses more digits than its factorization.

101957720094720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10513 (or 10481 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 101957720094720 in words is "one hundred one trillion, nine hundred fifty-seven billion, seven hundred twenty million, ninety-four thousand, seven hundred twenty".