220212220120100 has 72 divisors (see below), whose sum is σ = 515104054308648. Its totient is φ = 81232492492800.

The previous prime is 220212220120097. The next prime is 220212220120103. The reversal of 220212220120100 is 1021022212022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (220212220120097) and next prime (220212220120103).

It can be written as a sum of positive squares in 12 ways, for example, as 17187110398756 + 203025109721344 = 4145734^2 + 14248688^2 .

It is not an unprimeable number, because it can be changed into a prime (220212220120103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78448229 + ... + 81206828.

It is an arithmetic number, because the mean of its divisors is an integer number (7154222976509).

Almost surely, 2^{220212220120100} is an apocalyptic number.

220212220120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220212220120100 is an abundant number, since it is smaller than the sum of its proper divisors (294891834188548).

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

220212220120100 is a wasteful number, since it uses less digits than its factorization.

220212220120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159656145 (or 159656138 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 220212220120100 its reverse (1021022212022), we get a palindrome (221233242332122).

The spelling of 220212220120100 in words is "two hundred twenty trillion, two hundred twelve billion, two hundred twenty million, one hundred twenty thousand, one hundred".