210110012100 has 144 divisors (see below), whose sum is σ = 675747791040. Its totient is φ = 56005862400.

The previous prime is 210110012087. The next prime is 210110012141. The reversal of 210110012100 is 1210011012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6986095 + ... + 7016105.

Almost surely, 2^210110012100 is an apocalyptic number.

210110012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210110012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337873895520).

210110012100 is an abundant number, since it is smaller than the sum of its proper divisors (465637778940).

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

210110012100 is a wasteful number, since it uses less digits than its factorization.

210110012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32627 (or 32614 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 210110012100 its reverse (1210011012), we get a palindrome (211320023112).

The spelling of 210110012100 in words is "two hundred ten billion, one hundred ten million, twelve thousand, one hundred".