202121121011000 has 64 divisors (see below), whose sum is σ = 473206097520000. Its totient is φ = 80806965609600.

The previous prime is 202121121010981. The next prime is 202121121011003. The reversal of 202121121011000 is 110121121202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202121121011003) 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, 49903520 + ... + 53801519.

It is an arithmetic number, because the mean of its divisors is an integer number (7393845273750).

Almost surely, 2^{202121121011000} is an apocalyptic number.

202121121011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202121121011000 is an abundant number, since it is smaller than the sum of its proper divisors (271084976509000).

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

202121121011000 is a wasteful number, since it uses less digits than its factorization.

202121121011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103707009 (or 103706995 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 202121121011000 its reverse (110121121202), we get a palindrome (202231242132202).

The spelling of 202121121011000 in words is "two hundred two trillion, one hundred twenty-one billion, one hundred twenty-one million, eleven thousand".