1012000110137 has 2 divisors, whose sum is σ = 1012000110138. Its totient is φ = 1012000110136.

The previous prime is 1012000110103. The next prime is 1012000110161. The reversal of 1012000110137 is 7310110002101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 885972270121 + 126027840016 = 941261^2 + 355004^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012000110137 - 2²⁰ = 1011999061561 is a prime.

It is not a weakly prime, because it can be changed into another prime (1012000110937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506000055068 + 506000055069.

It is an arithmetic number, because the mean of its divisors is an integer number (506000055069).

Almost surely, 2^{1012000110137} is an apocalyptic number.

It is an amenable number.

1012000110137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012000110137 is an equidigital number, since it uses as much as digits as its factorization.

1012000110137 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 17.

Adding to 1012000110137 its reverse (7310110002101), we get a palindrome (8322110112238).

The spelling of 1012000110137 in words is "one trillion, twelve billion, one hundred ten thousand, one hundred thirty-seven".