210010022000100 has 432 divisors, whose sum is σ = 768655563312000. Its totient is φ = 46968469954560.

The previous prime is 210010022000057. The next prime is 210010022000197. The reversal of 210010022000100 is 1000220010012.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61223316 + ... + 64562484.

Almost surely, 2^{210010022000100} is an apocalyptic number.

210010022000100 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 210010022000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384327781656000).

210010022000100 is an abundant number, since it is smaller than the sum of its proper divisors (558645541311900).

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

210010022000100 is a wasteful number, since it uses less digits than its factorization.

210010022000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3339412 (or 3339402 counting only the distinct ones).

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

Adding to 210010022000100 its reverse (1000220010012), we get a palindrome (211010242010112).

The spelling of 210010022000100 in words is "two hundred ten trillion, ten billion, twenty-two million, one hundred", and thus it is an aban number.