210120100 has 36 divisors (see below), whose sum is σ = 461103300. Its totient is φ = 83100160.

The previous prime is 210120083. The next prime is 210120101. The reversal of 210120100 is 1021012.

It can be written as a sum of positive squares in 6 ways, for example, as 48525156 + 161594944 = 6966^2 + 12712^2 .

It is not an unprimeable number, because it can be changed into a prime (210120101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2905 + ... + 20704.

It is an arithmetic number, because the mean of its divisors is an integer number (12808425).

Almost surely, 2^210120100 is an apocalyptic number.

210120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210120100 is an abundant number, since it is smaller than the sum of its proper divisors (250983200).

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

210120100 is a wasteful number, since it uses less digits than its factorization.

210120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23712 (or 23705 counting only the distinct ones).

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

The square root of 210120100 is about 14495.5199975717. The cubic root of 210120100 is about 594.5054855909.

Adding to 210120100 its reverse (1021012), we get a palindrome (211141112).

It can be divided in two parts, 2101 and 20100, that added together give a square (22201 = 149²).

The spelling of 210120100 in words is "two hundred ten million, one hundred twenty thousand, one hundred".