210100201120 has 48 divisors (see below), whose sum is σ = 525559480488. Its totient is φ = 79096545280.

The previous prime is 210100201079. The next prime is 210100201153. The reversal of 210100201120 is 21102001012.

It can be written as a sum of positive squares in 4 ways, for example, as 205415619984 + 4684581136 = 453228^2 + 68444^2 .

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 = 210100201097 and 210100201106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38618641 + ... + 38624080.

Almost surely, 2^210100201120 is an apocalyptic number.

210100201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210100201120 is an abundant number, since it is smaller than the sum of its proper divisors (315459279368).

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

210100201120 is a wasteful number, since it uses less digits than its factorization.

210100201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77242753 (or 77242745 counting only the distinct ones).

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

Adding to 210100201120 its reverse (21102001012), we get a palindrome (231202202132).

The spelling of 210100201120 in words is "two hundred ten billion, one hundred million, two hundred one thousand, one hundred twenty".