10111112010137 has 2 divisors, whose sum is σ = 10111112010138. Its totient is φ = 10111112010136.

The previous prime is 10111112010107. The next prime is 10111112010149. The reversal of 10111112010137 is 73101021111101.

It is a happy number.

10111112010137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8929464744841 + 1181647265296 = 2988221^2 + 1087036^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10111112010137 is a prime.

It is not a weakly prime, because it can be changed into another prime (10111112010107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055556005068 + 5055556005069.

It is an arithmetic number, because the mean of its divisors is an integer number (5055556005069).

Almost surely, 2^{10111112010137} is an apocalyptic number.

It is an amenable number.

10111112010137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111112010137 is an equidigital number, since it uses as much as digits as its factorization.

10111112010137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42, while the sum is 20.

Adding to 10111112010137 its reverse (73101021111101), we get a palindrome (83212133121238).

The spelling of 10111112010137 in words is "ten trillion, one hundred eleven billion, one hundred twelve million, ten thousand, one hundred thirty-seven".