100132122121021 has 2 divisors, whose sum is σ = 100132122121022. Its totient is φ = 100132122121020.

The previous prime is 100132122121019. The next prime is 100132122121037. The reversal of 100132122121021 is 120121221231001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100006300099225 + 125822021796 = 10000315^2 + 354714^2 .

It is an emirp because it is prime and its reverse (120121221231001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100132122121021 - 2¹ = 100132122121019 is a prime.

Together with 100132122121019, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 100132122121021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100132122121061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50066061060510 + 50066061060511.

It is an arithmetic number, because the mean of its divisors is an integer number (50066061060511).

Almost surely, 2^{100132122121021} is an apocalyptic number.

It is an amenable number.

100132122121021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100132122121021 is an equidigital number, since it uses as much as digits as its factorization.

100132122121021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 100132122121021 its reverse (120121221231001), we get a palindrome (220253343352022).

The spelling of 100132122121021 in words is "one hundred trillion, one hundred thirty-two billion, one hundred twenty-two million, one hundred twenty-one thousand, twenty-one".