202020210100 has 72 divisors (see below), whose sum is σ = 444976004088. Its totient is φ = 79601088000.

The previous prime is 202020210079. The next prime is 202020210137. The reversal of 202020210100 is 1012020202.

It can be written as a sum of positive squares in 12 ways, for example, as 4793623696 + 197226586404 = 69236^2 + 444102^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1938934 + ... + 2040466.

It is an arithmetic number, because the mean of its divisors is an integer number (6180222279).

Almost surely, 2^202020210100 is an apocalyptic number.

202020210100 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 202020210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222488002044).

202020210100 is an abundant number, since it is smaller than the sum of its proper divisors (242955793988).

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

202020210100 is a wasteful number, since it uses less digits than its factorization.

202020210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101845 (or 101838 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 202020210100 its reverse (1012020202), we get a palindrome (203032230302).

It can be divided in two parts, 2020202 and 10100, that added together give a palindrome (2030302).

The spelling of 202020210100 in words is "two hundred two billion, twenty million, two hundred ten thousand, one hundred".