100021112010121 has 2 divisors, whose sum is σ = 100021112010122. Its totient is φ = 100021112010120.

The previous prime is 100021112010119. The next prime is 100021112010133. The reversal of 100021112010121 is 121010211120001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76890783650121 + 23130328360000 = 8768739^2 + 4809400^2 .

It is a cyclic number.

It is not a de Polignac number, because 100021112010121 - 2¹ = 100021112010119 is a prime.

Together with 100021112010119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100021112014121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010556005060 + 50010556005061.

It is an arithmetic number, because the mean of its divisors is an integer number (50010556005061).

Almost surely, 2^{100021112010121} is an apocalyptic number.

It is an amenable number.

100021112010121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100021112010121 is an equidigital number, since it uses as much as digits as its factorization.

100021112010121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100021112010121 its reverse (121010211120001), we get a palindrome (221031323130122).

The spelling of 100021112010121 in words is "one hundred trillion, twenty-one billion, one hundred twelve million, ten thousand, one hundred twenty-one".