101573820742761 has 16 divisors (see below), whose sum is σ = 154546754284800. Its totient is φ = 65885721562224.

The previous prime is 101573820742753. The next prime is 101573820742813. The reversal of 101573820742761 is 167247028375101.

101573820742761 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 7 + 3 + 8 + 207 + 427 + 6 + 1 = 666.

It is not a de Polignac number, because 101573820742761 - 2³ = 101573820742753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101573820742698 and 101573820742707.

It is not an unprimeable number, because it can be changed into a prime (101573820743761) 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, 50837747121 + ... + 50837749118.

It is an arithmetic number, because the mean of its divisors is an integer number (9659172142800).

Almost surely, 2^{101573820742761} is an apocalyptic number.

It is an amenable number.

101573820742761 is a deficient number, since it is larger than the sum of its proper divisors (52972933542039).

101573820742761 is a wasteful number, since it uses less digits than its factorization.

101573820742761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101675496285 (or 101675496279 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 101573820742761 in words is "one hundred one trillion, five hundred seventy-three billion, eight hundred twenty million, seven hundred forty-two thousand, seven hundred sixty-one".