220021022002122 has 96 divisors (see below), whose sum is σ = 525780267629760. Its totient is φ = 65940583887360.

The previous prime is 220021022002079. The next prime is 220021022002139. The reversal of 220021022002122 is 221200220120022.

220021022002122 is a `hidden beast` number, since 2 + 20 + 0 + 210 + 220 + 0 + 212 + 2 = 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 = 220021022002095 and 220021022002104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2486658 + ... + 21124050.

It is an arithmetic number, because the mean of its divisors is an integer number (5476877787810).

Almost surely, 2^{220021022002122} is an apocalyptic number.

220021022002122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220021022002122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262890133814880).

220021022002122 is an abundant number, since it is smaller than the sum of its proper divisors (305759245627638).

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

220021022002122 is a wasteful number, since it uses less digits than its factorization.

220021022002122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18638068 (or 18638065 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220021022002122 its reverse (221200220120022), we get a palindrome (441221242122144).

The spelling of 220021022002122 in words is "two hundred twenty trillion, twenty-one billion, twenty-two million, two thousand, one hundred twenty-two".