100122022200121 has 2 divisors, whose sum is σ = 100122022200122. Its totient is φ = 100122022200120.

The previous prime is 100122022200073. The next prime is 100122022200281. The reversal of 100122022200121 is 121002220221001.

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., 100119235521600 + 2786678521 = 10005960^2 + 52789^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122022200121 - 2²¹ = 100122020102969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100122022200095 and 100122022200104.

It is not a weakly prime, because it can be changed into another prime (100122022200521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061011100060 + 50061011100061.

It is an arithmetic number, because the mean of its divisors is an integer number (50061011100061).

Almost surely, 2^{100122022200121} is an apocalyptic number.

It is an amenable number.

100122022200121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122022200121 is an equidigital number, since it uses as much as digits as its factorization.

100122022200121 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 16.

Adding to 100122022200121 its reverse (121002220221001), we get a palindrome (221124242421122).

The spelling of 100122022200121 in words is "one hundred trillion, one hundred twenty-two billion, twenty-two million, two hundred thousand, one hundred twenty-one".