10220221122120 has 96 divisors (see below), whose sum is σ = 33217797150720. Its totient is φ = 2725221755520.

The previous prime is 10220221122119. The next prime is 10220221122143. The reversal of 10220221122120 is 2122112202201.

It is a happy number.

10220221122120 is a `hidden beast` number, since 1 + 0 + 220 + 221 + 1 + 221 + 2 + 0 = 666.

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 = 10220221122093 and 10220221122102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4925535 + ... + 6685905.

It is an arithmetic number, because the mean of its divisors is an integer number (346018720320).

Almost surely, 2^{10220221122120} is an apocalyptic number.

10220221122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220221122120 is an abundant number, since it is smaller than the sum of its proper divisors (22997576028600).

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

10220221122120 is a wasteful number, since it uses less digits than its factorization.

10220221122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776515 (or 1776508 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10220221122120 its reverse (2122112202201), we get a palindrome (12342333324321).

The spelling of 10220221122120 in words is "ten trillion, two hundred twenty billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty".