220120102111122 has 16 divisors (see below), whose sum is σ = 489155782469280. Its totient is φ = 73373367370356.

The previous prime is 220120102111073. The next prime is 220120102111157. The reversal of 220120102111122 is 221111201021022.

220120102111122 is a `hidden beast` number, since 220 + 1 + 201 + 0 + 211 + 11 + 22 = 666.

It is a super-2 number, since 2×220120102111122² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 220120102111095 and 220120102111104.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2038149093568 + ... + 2038149093675.

It is an arithmetic number, because the mean of its divisors is an integer number (30572236404330).

Almost surely, 2^{220120102111122} is an apocalyptic number.

220120102111122 is an abundant number, since it is smaller than the sum of its proper divisors (269035680358158).

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

220120102111122 is a wasteful number, since it uses less digits than its factorization.

220120102111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4076298187254 (or 4076298187248 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 220120102111122 its reverse (221111201021022), we get a palindrome (441231303132144).

The spelling of 220120102111122 in words is "two hundred twenty trillion, one hundred twenty billion, one hundred two million, one hundred eleven thousand, one hundred twenty-two".