202020200100 has 108 divisors (see below), whose sum is σ = 634276404580. Its totient is φ = 53782272000.

The previous prime is 202020200093. The next prime is 202020200167. The reversal of 202020200100 is 1002020202.

It can be written as a sum of positive squares in 6 ways, for example, as 16839733824 + 185180466276 = 129768^2 + 430326^2 .

It is a super-2 number, since 2×202020200100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 354156 + ... + 727644.

Almost surely, 2^202020200100 is an apocalyptic number.

202020200100 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 202020200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317138202290).

202020200100 is an abundant number, since it is smaller than the sum of its proper divisors (432256204480).

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

202020200100 is a wasteful number, since it uses less digits than its factorization.

202020200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374110 (or 374100 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 202020200100 its reverse (1002020202), we get a palindrome (203022220302).

The spelling of 202020200100 in words is "two hundred two billion, twenty million, two hundred thousand, one hundred".