201021071579692 has 192 divisors, whose sum is σ = 442257479000064. Its totient is φ = 77826551362560.

The previous prime is 201021071579677. The next prime is 201021071579693. The reversal of 201021071579692 is 296975170120102.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (201021071579693) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12777025858 + ... + 12777041590.

It is an arithmetic number, because the mean of its divisors is an integer number (2303424369792).

Almost surely, 2^{201021071579692} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201021071579692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221128739500032).

201021071579692 is an abundant number, since it is smaller than the sum of its proper divisors (241236407420372).

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

201021071579692 is a wasteful number, since it uses less digits than its factorization.

201021071579692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17448 (or 17446 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 52.

The spelling of 201021071579692 in words is "two hundred one trillion, twenty-one billion, seventy-one million, five hundred seventy-nine thousand, six hundred ninety-two".