220010200012100 has 108 divisors (see below), whose sum is σ = 507174892086156. Its totient is φ = 82824572897280.

The previous prime is 220010200012063. The next prime is 220010200012177. The reversal of 220010200012100 is 1210002010022.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 9798014311684 + 210212185700416 = 3130178^2 + 14498696^2 .

It is a super-3 number, since 3×220010200012100³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 987025862 + ... + 987248738.

Almost surely, 2^{220010200012100} is an apocalyptic number.

220010200012100 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 220010200012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253587446043078).

220010200012100 is an abundant number, since it is smaller than the sum of its proper divisors (287164692074056).

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

220010200012100 is a wasteful number, since it uses less digits than its factorization.

220010200012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257082 (or 257058 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 220010200012100 its reverse (1210002010022), we get a palindrome (221220202022122).

The spelling of 220010200012100 in words is "two hundred twenty trillion, ten billion, two hundred million, twelve thousand, one hundred".