220120220022100 has 36 divisors (see below), whose sum is σ = 480866655181500. Its totient is φ = 87457161237760.

The previous prime is 220120220022097. The next prime is 220120220022107. The reversal of 220120220022100 is 1220022021022.

It can be written as a sum of positive squares in 6 ways, for example, as 67061457079236 + 153058762942864 = 8189106^2 + 12371692^2 .

It is a super-2 number, since 2×220120220022100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220120220022107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7386569665 + ... + 7386599464.

It is an arithmetic number, because the mean of its divisors is an integer number (13357407088375).

Almost surely, 2^{220120220022100} is an apocalyptic number.

220120220022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220120220022100 is an abundant number, since it is smaller than the sum of its proper divisors (260746435159400).

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

220120220022100 is a wasteful number, since it uses less digits than its factorization.

220120220022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14773169292 (or 14773169285 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 220120220022100 its reverse (1220022021022), we get a palindrome (221340242043122).

The spelling of 220120220022100 in words is "two hundred twenty trillion, one hundred twenty billion, two hundred twenty million, twenty-two thousand, one hundred".