202113131021100 has 576 divisors, whose sum is σ = 732195836467200. Its totient is φ = 47455216174080.

The previous prime is 202113131021071. The next prime is 202113131021119. The reversal of 202113131021100 is 1120131311202.

202113131021100 is a `hidden beast` number, since 2 + 0 + 211 + 31 + 310 + 2 + 110 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 289472014 + ... + 290169386.

It is an arithmetic number, because the mean of its divisors is an integer number (1271173327200).

Almost surely, 2^{202113131021100} is an apocalyptic number.

202113131021100 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 202113131021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366097918233600).

202113131021100 is an abundant number, since it is smaller than the sum of its proper divisors (530082705446100).

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

202113131021100 is a wasteful number, since it uses less digits than its factorization.

202113131021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697791 (or 697778 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 202113131021100 its reverse (1120131311202), we get a palindrome (203233262332302).

The spelling of 202113131021100 in words is "two hundred two trillion, one hundred thirteen billion, one hundred thirty-one million, twenty-one thousand, one hundred".