20002121122122 has 12 divisors (see below), whose sum is σ = 43337929097970. Its totient is φ = 6667373707368.

The previous prime is 20002121122021. The next prime is 20002121122141. The reversal of 20002121122122 is 22122112120002.

It is a happy number.

20002121122122 is a `hidden beast` number, since 200 + 0 + 212 + 11 + 221 + 22 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18334590535881 + 1667530586241 = 4281891^2 + 1291329^2 .

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: 1111228951229 = 20002121122122 / (2 + 0 + 0 + 0 + 2 + 1 + 2 + 1 + 1 + 2 + 2 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 20002121122095 and 20002121122104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555614475597 + ... + 555614475632.

Almost surely, 2^{20002121122122} is an apocalyptic number.

20002121122122 is an abundant number, since it is smaller than the sum of its proper divisors (23335807975848).

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

20002121122122 is a wasteful number, since it uses less digits than its factorization.

20002121122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111228951237 (or 1111228951234 counting only the distinct ones).

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

Adding to 20002121122122 its reverse (22122112120002), we get a palindrome (42124233242124).

The spelling of 20002121122122 in words is "twenty trillion, two billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-two".