202101311323100 has 144 divisors (see below), whose sum is σ = 501496994096448. Its totient is φ = 69252387471360.

The previous prime is 202101311323081. The next prime is 202101311323237. The reversal of 202101311323100 is 1323113101202.

It is a happy number.

It is a super-2 number, since 2×202101311323100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10800039344 + ... + 10800058056.

Almost surely, 2^{202101311323100} is an apocalyptic number.

202101311323100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202101311323100 is an abundant number, since it is smaller than the sum of its proper divisors (299395682773348).

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

202101311323100 is a wasteful number, since it uses less digits than its factorization.

202101311323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26704 (or 26697 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 202101311323100 its reverse (1323113101202), we get a palindrome (203424424424302).

The spelling of 202101311323100 in words is "two hundred two trillion, one hundred one billion, three hundred eleven million, three hundred twenty-three thousand, one hundred".