100122021122021 has 2 divisors, whose sum is σ = 100122021122022. Its totient is φ = 100122021122020.

The previous prime is 100122021121939. The next prime is 100122021122033. The reversal of 100122021122021 is 120221120221001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81055611541921 + 19066409580100 = 9003089^2 + 4366510^2 .

It is an emirp because it is prime and its reverse (120221120221001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100122021122021 - 2³⁰ = 100120947380197 is a prime.

It is a super-2 number, since 2×100122021122021² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100122021122521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061010561010 + 50061010561011.

It is an arithmetic number, because the mean of its divisors is an integer number (50061010561011).

Almost surely, 2^{100122021122021} is an apocalyptic number.

It is an amenable number.

100122021122021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122021122021 is an equidigital number, since it uses as much as digits as its factorization.

100122021122021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100122021122021 its reverse (120221120221001), we get a palindrome (220343141343022).

The spelling of 100122021122021 in words is "one hundred trillion, one hundred twenty-two billion, twenty-one million, one hundred twenty-two thousand, twenty-one".