202020100000100 has 144 divisors (see below), whose sum is σ = 465103462389888. Its totient is φ = 76010534645760.

The previous prime is 202020100000079. The next prime is 202020100000133. The reversal of 202020100000100 is 1000001020202.

202020100000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32142899 + ... + 37910501.

Almost surely, 2^{202020100000100} is an apocalyptic number.

202020100000100 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 202020100000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232551731194944).

202020100000100 is an abundant number, since it is smaller than the sum of its proper divisors (263083362389788).

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

202020100000100 is a wasteful number, since it uses less digits than its factorization.

202020100000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5767894 (or 5767887 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 202020100000100 its reverse (1000001020202), we get a palindrome (203020101020302).

The spelling of 202020100000100 in words is "two hundred two trillion, twenty billion, one hundred million, one hundred", and thus it is an aban number.