210100202100 has 216 divisors, whose sum is σ = 664725454848. Its totient is φ = 55502496000.

The previous prime is 210100202099. The next prime is 210100202101. The reversal of 210100202100 is 1202001012.

It is an interprime number because it is at equal distance from previous prime (210100202099) and next prime (210100202101).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210100202101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 131558502 + ... + 131560098.

Almost surely, 2^210100202100 is an apocalyptic number.

210100202100 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 210100202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332362727424).

210100202100 is an abundant number, since it is smaller than the sum of its proper divisors (454625252748).

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

210100202100 is a wasteful number, since it uses less digits than its factorization.

210100202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2895 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 210100202100 its reverse (1202001012), we get a palindrome (211302203112).

The spelling of 210100202100 in words is "two hundred ten billion, one hundred million, two hundred two thousand, one hundred".