10120000010137 has 2 divisors, whose sum is σ = 10120000010138. Its totient is φ = 10120000010136.

The previous prime is 10120000010093. The next prime is 10120000010227. The reversal of 10120000010137 is 73101000002101.

10120000010137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7193638953216 + 2926361056921 = 2682096^2 + 1710661^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120000010137 - 2³⁵ = 10085640271769 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10120000010137.

It is not a weakly prime, because it can be changed into another prime (10120000017137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060000005068 + 5060000005069.

It is an arithmetic number, because the mean of its divisors is an integer number (5060000005069).

Almost surely, 2^{10120000010137} is an apocalyptic number.

It is an amenable number.

10120000010137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120000010137 is an equidigital number, since it uses as much as digits as its factorization.

10120000010137 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 16.

Adding to 10120000010137 its reverse (73101000002101), we get a palindrome (83221000012238).

The spelling of 10120000010137 in words is "ten trillion, one hundred twenty billion, ten thousand, one hundred thirty-seven".