101331201988242 has 160 divisors (see below), whose sum is σ = 229645487554560. Its totient is φ = 33393440868480.

The previous prime is 101331201988241. The next prime is 101331201988271. The reversal of 101331201988242 is 242889102133101.

101331201988242 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 312 + 0 + 1 + 98 + 8 + 242 = 666.

It is not an unprimeable number, because it can be changed into a prime (101331201988241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28281103983 + ... + 28281107565.

It is an arithmetic number, because the mean of its divisors is an integer number (1435284297216).

Almost surely, 2^{101331201988242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101331201988242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114822743777280).

101331201988242 is an abundant number, since it is smaller than the sum of its proper divisors (128314285566318).

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

101331201988242 is a wasteful number, since it uses less digits than its factorization.

101331201988242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6790 (or 6781 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 101331201988242 in words is "one hundred one trillion, three hundred thirty-one billion, two hundred one million, nine hundred eighty-eight thousand, two hundred forty-two".