100110120012113 has 2 divisors, whose sum is σ = 100110120012114. Its totient is φ = 100110120012112.

The previous prime is 100110120012073. The next prime is 100110120012181. The reversal of 100110120012113 is 311210021011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87827954925649 + 12282165086464 = 9371657^2 + 3504592^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110120012113 - 2¹⁰ = 100110120011089 is a prime.

It is a super-2 number, since 2×100110120012113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100110120012013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055060006056 + 50055060006057.

It is an arithmetic number, because the mean of its divisors is an integer number (50055060006057).

Almost surely, 2^{100110120012113} is an apocalyptic number.

It is an amenable number.

100110120012113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110120012113 is an equidigital number, since it uses as much as digits as its factorization.

100110120012113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 100110120012113 its reverse (311210021011001), we get a palindrome (411320141023114).

The spelling of 100110120012113 in words is "one hundred trillion, one hundred ten billion, one hundred twenty million, twelve thousand, one hundred thirteen".