10012120100137 has 2 divisors, whose sum is σ = 10012120100138. Its totient is φ = 10012120100136.

The previous prime is 10012120100113. The next prime is 10012120100231. The reversal of 10012120100137 is 73100102121001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6417527824656 + 3594592275481 = 2533284^2 + 1895941^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012120100137 - 2¹⁹ = 10012119575849 is a prime.

It is not a weakly prime, because it can be changed into another prime (10012120100107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006060050068 + 5006060050069.

It is an arithmetic number, because the mean of its divisors is an integer number (5006060050069).

Almost surely, 2^{10012120100137} is an apocalyptic number.

It is an amenable number.

10012120100137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012120100137 is an equidigital number, since it uses as much as digits as its factorization.

10012120100137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 19.

Adding to 10012120100137 its reverse (73100102121001), we get a palindrome (83112222221138).

The spelling of 10012120100137 in words is "ten trillion, twelve billion, one hundred twenty million, one hundred thousand, one hundred thirty-seven".