220012222202100 has 360 divisors, whose sum is σ = 718128160189440. Its totient is φ = 58264568628480.

The previous prime is 220012222202041. The next prime is 220012222202119. The reversal of 220012222202100 is 1202222210022.

220012222202100 is a `hidden beast` number, since 2 + 200 + 1 + 222 + 220 + 21 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1470310086 + ... + 1470459714.

Almost surely, 2^{220012222202100} is an apocalyptic number.

220012222202100 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 220012222202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359064080094720).

220012222202100 is an abundant number, since it is smaller than the sum of its proper divisors (498115937987340).

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

220012222202100 is a wasteful number, since it uses less digits than its factorization.

220012222202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150909 (or 150893 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220012222202100 its reverse (1202222210022), we get a palindrome (221214444412122).

The spelling of 220012222202100 in words is "two hundred twenty trillion, twelve billion, two hundred twenty-two million, two hundred two thousand, one hundred".