100122021121021 has 2 divisors, whose sum is σ = 100122021121022. Its totient is φ = 100122021121020.

The previous prime is 100122021120977. The next prime is 100122021121061. The reversal of 100122021121021 is 120121120221001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87980385405796 + 12141635715225 = 9379786^2 + 3484485^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122021121021 - 2⁹ = 100122021120509 is a prime.

It is a super-2 number, since 2×100122021121021² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100122021120986 and 100122021121004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100122021121061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061010560510 + 50061010560511.

It is an arithmetic number, because the mean of its divisors is an integer number (50061010560511).

Almost surely, 2^{100122021121021} is an apocalyptic number.

It is an amenable number.

100122021121021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122021121021 is an equidigital number, since it uses as much as digits as its factorization.

100122021121021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100122021121021 its reverse (120121120221001), we get a palindrome (220243141342022).

The spelling of 100122021121021 in words is "one hundred trillion, one hundred twenty-two billion, twenty-one million, one hundred twenty-one thousand, twenty-one".