21002220112122 has 12 divisors (see below), whose sum is σ = 45504810242970. Its totient is φ = 7000740037368.

The previous prime is 21002220112121. The next prime is 21002220112123. The reversal of 21002220112122 is 22121102220012.

It is a happy number.

21002220112122 is a `hidden beast` number, since 210 + 0 + 2 + 220 + 112 + 122 = 666.

It is an interprime number because it is at equal distance from previous prime (21002220112121) and next prime (21002220112123).

It can be written as a sum of positive squares in only one way, i.e., 13373802594441 + 7628417517681 = 3657021^2 + 2761959^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1166790006229 = 21002220112122 / (2 + 1 + 0 + 0 + 2 + 2 + 2 + 0 + 1 + 1 + 2 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 21002220112095 and 21002220112104.

It is not an unprimeable number, because it can be changed into a prime (21002220112121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 583395003097 + ... + 583395003132.

Almost surely, 2^{21002220112122} is an apocalyptic number.

21002220112122 is an abundant number, since it is smaller than the sum of its proper divisors (24502590130848).

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

21002220112122 is a wasteful number, since it uses less digits than its factorization.

21002220112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166790006237 (or 1166790006234 counting only the distinct ones).

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

Adding to 21002220112122 its reverse (22121102220012), we get a palindrome (43123322332134).

The spelling of 21002220112122 in words is "twenty-one trillion, two billion, two hundred twenty million, one hundred twelve thousand, one hundred twenty-two".