100122310020121 has 2 divisors, whose sum is σ = 100122310020122. Its totient is φ = 100122310020120.

The previous prime is 100122310020059. The next prime is 100122310020143. The reversal of 100122310020121 is 121020013221001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68627373178896 + 31494936841225 = 8284164^2 + 5612035^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122310020121 - 2²⁵ = 100122276465689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100122310020095 and 100122310020104.

It is not a weakly prime, because it can be changed into another prime (100122310000121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061155010060 + 50061155010061.

It is an arithmetic number, because the mean of its divisors is an integer number (50061155010061).

Almost surely, 2^{100122310020121} is an apocalyptic number.

It is an amenable number.

100122310020121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122310020121 is an equidigital number, since it uses as much as digits as its factorization.

100122310020121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 100122310020121 its reverse (121020013221001), we get a palindrome (221142323241122).

The spelling of 100122310020121 in words is "one hundred trillion, one hundred twenty-two billion, three hundred ten million, twenty thousand, one hundred twenty-one".