101865727440642 has 64 divisors (see below), whose sum is σ = 231474240857088. Its totient is φ = 29611105272000.

The previous prime is 101865727440569. The next prime is 101865727440649. The reversal of 101865727440642 is 246044727568101.

It is a super-2 number, since 2×101865727440642² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101865727440649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293587584 + ... + 293934347.

It is an arithmetic number, because the mean of its divisors is an integer number (3616785013392).

Almost surely, 2^{101865727440642} is an apocalyptic number.

101865727440642 is an abundant number, since it is smaller than the sum of its proper divisors (129608513416446).

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

101865727440642 is a wasteful number, since it uses less digits than its factorization.

101865727440642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587522055.

The product of its (nonzero) digits is 18063360, while the sum is 57.

The spelling of 101865727440642 in words is "one hundred one trillion, eight hundred sixty-five billion, seven hundred twenty-seven million, four hundred forty thousand, six hundred forty-two".