202100110120 has 16 divisors (see below), whose sum is σ = 454725247860. Its totient is φ = 80840044032.

The previous prime is 202100110103. The next prime is 202100110169. The reversal of 202100110120 is 21011001202.

202100110120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 201505823236 + 594286884 = 448894^2 + 24378^2 .

It is a super-2 number, since 2×202100110120² (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 junction number, because it is equal to n+sod(n) for n = 202100110097 and 202100110106.

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 3 ways as a sum of consecutive naturals, for example, 2526251337 + ... + 2526251416.

Almost surely, 2^202100110120 is an apocalyptic number.

202100110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202100110120 is an abundant number, since it is smaller than the sum of its proper divisors (252625137740).

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

202100110120 is a wasteful number, since it uses less digits than its factorization.

202100110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5052502764 (or 5052502760 counting only the distinct ones).

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

Adding to 202100110120 its reverse (21011001202), we get a palindrome (223111111322).

The spelling of 202100110120 in words is "two hundred two billion, one hundred million, one hundred ten thousand, one hundred twenty".