220000111120100 has 72 divisors (see below), whose sum is σ = 482878851666120. Its totient is φ = 86990631608320.

The previous prime is 220000111120079. The next prime is 220000111120171. The reversal of 220000111120100 is 1021111000022.

It can be written as a sum of positive squares in 12 ways, for example, as 91603428457024 + 128396682663076 = 9570968^2 + 11331226^2 .

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, 34600412 + ... + 40462188.

It is an arithmetic number, because the mean of its divisors is an integer number (6706650717585).

Almost surely, 2^{220000111120100} is an apocalyptic number.

220000111120100 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 220000111120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241439425833060).

220000111120100 is an abundant number, since it is smaller than the sum of its proper divisors (262878740546020).

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

220000111120100 is a wasteful number, since it uses less digits than its factorization.

220000111120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5866097 (or 5866090 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 220000111120100 its reverse (1021111000022), we get a palindrome (221021222120122).

The spelling of 220000111120100 in words is "two hundred twenty trillion, one hundred eleven million, one hundred twenty thousand, one hundred".