202120110100 has 18 divisors (see below), whose sum is σ = 438600639134. Its totient is φ = 80848044000.

The previous prime is 202120110091. The next prime is 202120110121. The reversal of 202120110100 is 1011021202.

It can be written as a sum of positive squares in 3 ways, for example, as 211877136 + 201908232964 = 14556^2 + 449342^2 .

It is a super-2 number, since 2×202120110100² (a number of 23 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 1010600451 + ... + 1010600650.

Almost surely, 2^202120110100 is an apocalyptic number.

202120110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202120110100 is an abundant number, since it is smaller than the sum of its proper divisors (236480529034).

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

202120110100 is a wasteful number, since it uses less digits than its factorization.

202120110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021201115 (or 2021201108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 202120110100 its reverse (1011021202), we get a palindrome (203131131302).

The spelling of 202120110100 in words is "two hundred two billion, one hundred twenty million, one hundred ten thousand, one hundred".