202100010100 has 36 divisors (see below), whose sum is σ = 445990204800. Its totient is φ = 79469832160.

The previous prime is 202100010001. The next prime is 202100010121. The reversal of 202100010100 is 1010001202.

202100010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17121220 + ... + 17133019.

It is an arithmetic number, because the mean of its divisors is an integer number (12388616800).

Almost surely, 2^202100010100 is an apocalyptic number.

202100010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202100010100 is an abundant number, since it is smaller than the sum of its proper divisors (243890194700).

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

202100010100 is a wasteful number, since it uses less digits than its factorization.

202100010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34254312 (or 34254305 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 202100010100 its reverse (1010001202), we get a palindrome (203110011302).

The spelling of 202100010100 in words is "two hundred two billion, one hundred million, ten thousand, one hundred".