202131310010100 has 288 divisors, whose sum is σ = 588022364160000. Its totient is φ = 53608844190720.

The previous prime is 202131310010057. The next prime is 202131310010159. The reversal of 202131310010100 is 1010013131202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202131310010100.

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 95 ways as a sum of consecutive naturals, for example, 68080601416 + ... + 68080604384.

It is an arithmetic number, because the mean of its divisors is an integer number (2041744320000).

Almost surely, 2^{202131310010100} is an apocalyptic number.

202131310010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202131310010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294011182080000).

202131310010100 is an abundant number, since it is smaller than the sum of its proper divisors (385891054149900).

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

202131310010100 is a wasteful number, since it uses less digits than its factorization.

202131310010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4887 (or 4880 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 202131310010100 its reverse (1010013131202), we get a palindrome (203141323141302).

The spelling of 202131310010100 in words is "two hundred two trillion, one hundred thirty-one billion, three hundred ten million, ten thousand, one hundred".