220010101002100 has 72 divisors (see below), whose sum is σ = 478227002559768. Its totient is φ = 87855763046400.

The previous prime is 220010101002089. The next prime is 220010101002121. The reversal of 220010101002100 is 1200101010022.

It can be written as a sum of positive squares in 12 ways, for example, as 4533654460644 + 215476446541456 = 2129238^2 + 14679116^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140112532 + ... + 141674068.

It is an arithmetic number, because the mean of its divisors is an integer number (6642041702219).

Almost surely, 2^{220010101002100} is an apocalyptic number.

220010101002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220010101002100 is an abundant number, since it is smaller than the sum of its proper divisors (258216901557668).

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

220010101002100 is a wasteful number, since it uses less digits than its factorization.

220010101002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563925 (or 1563918 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 220010101002100 its reverse (1200101010022), we get a palindrome (221210202012122).

The spelling of 220010101002100 in words is "two hundred twenty trillion, ten billion, one hundred one million, two thousand, one hundred".