120012100110113 has 2 divisors, whose sum is σ = 120012100110114. Its totient is φ = 120012100110112.

The previous prime is 120012100110109. The next prime is 120012100110131. The reversal of 120012100110113 is 311011001210021.

Together with next prime (120012100110131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62370948510784 + 57641151599329 = 7897528^2 + 7592177^2 .

It is a cyclic number.

It is not a de Polignac number, because 120012100110113 - 2² = 120012100110109 is a prime.

It is not a weakly prime, because it can be changed into another prime (120012100110173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60006050055056 + 60006050055057.

It is an arithmetic number, because the mean of its divisors is an integer number (60006050055057).

Almost surely, 2^{120012100110113} is an apocalyptic number.

It is an amenable number.

120012100110113 is a deficient number, since it is larger than the sum of its proper divisors (1).

120012100110113 is an equidigital number, since it uses as much as digits as its factorization.

120012100110113 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 120012100110113 its reverse (311011001210021), we get a palindrome (431023101320134).

The spelling of 120012100110113 in words is "one hundred twenty trillion, twelve billion, one hundred million, one hundred ten thousand, one hundred thirteen".