100133023121 has 2 divisors, whose sum is σ = 100133023122. Its totient is φ = 100133023120.

The previous prime is 100133023103. The next prime is 100133023139. The reversal of 100133023121 is 121320331001.

It is a balanced prime because it is at equal distance from previous prime (100133023103) and next prime (100133023139).

It can be written as a sum of positive squares in only one way, i.e., 67761816721 + 32371206400 = 260311^2 + 179920^2 .

It is a cyclic number.

It is not a de Polignac number, because 100133023121 - 2⁶ = 100133023057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100133023121.

It is not a weakly prime, because it can be changed into another prime (100133023621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50066511560 + 50066511561.

It is an arithmetic number, because the mean of its divisors is an integer number (50066511561).

Almost surely, 2^100133023121 is an apocalyptic number.

It is an amenable number.

100133023121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100133023121 is an equidigital number, since it uses as much as digits as its factorization.

100133023121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 100133023121 its reverse (121320331001), we get a palindrome (221453354122).

The spelling of 100133023121 in words is "one hundred billion, one hundred thirty-three million, twenty-three thousand, one hundred twenty-one".