220000101100002 has 48 divisors (see below), whose sum is σ = 476911638654360. Its totient is φ = 73295722008576.

The previous prime is 220000101099997. The next prime is 220000101100007. The reversal of 220000101100002 is 200001101000022.

It is an interprime number because it is at equal distance from previous prime (220000101099997) and next prime (220000101100007).

It can be written as a sum of positive squares in 4 ways, for example, as 154965376323081 + 65034724776921 = 12448509^2 + 8064411^2 .

It is a super-2 number, since 2×220000101100002² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (220000101100007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287352618 + ... + 288117210.

Almost surely, 2^{220000101100002} is an apocalyptic number.

220000101100002 is an abundant number, since it is smaller than the sum of its proper divisors (256911537554358).

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

220000101100002 is a wasteful number, since it uses less digits than its factorization.

220000101100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772787 (or 772784 counting only the distinct ones).

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

Adding to 220000101100002 its reverse (200001101000022), we get a palindrome (420001202100024).

The spelling of 220000101100002 in words is "two hundred twenty trillion, one hundred one million, one hundred thousand, two".