100110100110133 has 2 divisors, whose sum is σ = 100110100110134. Its totient is φ = 100110100110132.

The previous prime is 100110100110067. The next prime is 100110100110173. The reversal of 100110100110133 is 331011001011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86390202604689 + 13719897505444 = 9294633^2 + 3704038^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100110100110133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100110100110173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055050055066 + 50055050055067.

It is an arithmetic number, because the mean of its divisors is an integer number (50055050055067).

Almost surely, 2^{100110100110133} is an apocalyptic number.

It is an amenable number.

100110100110133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110100110133 is an equidigital number, since it uses as much as digits as its factorization.

100110100110133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 100110100110133 its reverse (331011001011001), we get a palindrome (431121101121134).

The spelling of 100110100110133 in words is "one hundred trillion, one hundred ten billion, one hundred million, one hundred ten thousand, one hundred thirty-three".