100133023102201 has 2 divisors, whose sum is σ = 100133023102202. Its totient is φ = 100133023102200.

The previous prime is 100133023102193. The next prime is 100133023102207. The reversal of 100133023102201 is 102201320331001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96661046773225 + 3471976328976 = 9831635^2 + 1863324^2 .

It is a cyclic number.

It is not a de Polignac number, because 100133023102201 - 2³ = 100133023102193 is a prime.

It is not a weakly prime, because it can be changed into another prime (100133023102207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50066511551100 + 50066511551101.

It is an arithmetic number, because the mean of its divisors is an integer number (50066511551101).

Almost surely, 2^{100133023102201} is an apocalyptic number.

It is an amenable number.

100133023102201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100133023102201 is an equidigital number, since it uses as much as digits as its factorization.

100133023102201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 100133023102201 its reverse (102201320331001), we get a palindrome (202334343433202).

The spelling of 100133023102201 in words is "one hundred trillion, one hundred thirty-three billion, twenty-three million, one hundred two thousand, two hundred one".