100133000322161 has 2 divisors, whose sum is σ = 100133000322162. Its totient is φ = 100133000322160.

The previous prime is 100133000322107. The next prime is 100133000322169. The reversal of 100133000322161 is 161223000331001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90437056825600 + 9695943496561 = 9509840^2 + 3113831^2 .

It is a cyclic number.

It is not a de Polignac number, because 100133000322161 - 2²⁶ = 100132933213297 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100133000322169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50066500161080 + 50066500161081.

It is an arithmetic number, because the mean of its divisors is an integer number (50066500161081).

Almost surely, 2^{100133000322161} is an apocalyptic number.

It is an amenable number.

100133000322161 is a deficient number, since it is larger than the sum of its proper divisors (1).

100133000322161 is an equidigital number, since it uses as much as digits as its factorization.

100133000322161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 100133000322161 its reverse (161223000331001), we get a palindrome (261356000653162).

The spelling of 100133000322161 in words is "one hundred trillion, one hundred thirty-three billion, three hundred twenty-two thousand, one hundred sixty-one".