101573820742681 has 8 divisors (see below), whose sum is σ = 116091742276160. Its totient is φ = 87057743137488.

The previous prime is 101573820742579. The next prime is 101573820742717. The reversal of 101573820742681 is 186247028375101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101573820742681 - 2²⁵ = 101573787188249 is a prime.

It is a super-2 number, since 2×101573820742681² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101573820742081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 460864026 + ... + 461084371.

It is an arithmetic number, because the mean of its divisors is an integer number (14511467784520).

Almost surely, 2^{101573820742681} is an apocalyptic number.

It is an amenable number.

101573820742681 is a deficient number, since it is larger than the sum of its proper divisors (14517921533479).

101573820742681 is an equidigital number, since it uses as much as digits as its factorization.

101573820742681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921964143.

The product of its (nonzero) digits is 4515840, while the sum is 55.

The spelling of 101573820742681 in words is "one hundred one trillion, five hundred seventy-three billion, eight hundred twenty million, seven hundred forty-two thousand, six hundred eighty-one".