101157813576381 has 16 divisors (see below), whose sum is σ = 137165380416000. Its totient is φ = 66294431950128.

The previous prime is 101157813576349. The next prime is 101157813576401. The reversal of 101157813576381 is 183675318751101.

It is not a de Polignac number, because 101157813576381 - 2⁵ = 101157813576349 is a prime.

It is a super-2 number, since 2×101157813576381² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101157813556381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6250920 + ... + 15536718.

It is an arithmetic number, because the mean of its divisors is an integer number (8572836276000).

Almost surely, 2^{101157813576381} is an apocalyptic number.

It is an amenable number.

101157813576381 is a deficient number, since it is larger than the sum of its proper divisors (36007566839619).

101157813576381 is an equidigital number, since it uses as much as digits as its factorization.

101157813576381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9347408.

The product of its (nonzero) digits is 4233600, while the sum is 57.

The spelling of 101157813576381 in words is "one hundred one trillion, one hundred fifty-seven billion, eight hundred thirteen million, five hundred seventy-six thousand, three hundred eighty-one".