101365753001157 has 40 divisors (see below), whose sum is σ = 153358191402240. Its totient is φ = 66713698340640.

The previous prime is 101365753001111. The next prime is 101365753001231. The reversal of 101365753001157 is 751100357563101.

101365753001157 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 6 + 57 + 530 + 0 + 11 + 57 = 666.

It is not a de Polignac number, because 101365753001157 - 2²⁸ = 101365484565701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101365753001057) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52229083 + ... + 54135095.

It is an arithmetic number, because the mean of its divisors is an integer number (3833954785056).

Almost surely, 2^{101365753001157} is an apocalyptic number.

It is an amenable number.

101365753001157 is a deficient number, since it is larger than the sum of its proper divisors (51992438401083).

101365753001157 is an equidigital number, since it uses as much as digits as its factorization.

101365753001157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914415 (or 1914406 counting only the distinct ones).

The product of its (nonzero) digits is 330750, while the sum is 45.

The spelling of 101365753001157 in words is "one hundred one trillion, three hundred sixty-five billion, seven hundred fifty-three million, one thousand, one hundred fifty-seven".