2110001012137 has 2 divisors, whose sum is σ = 2110001012138. Its totient is φ = 2110001012136.

The previous prime is 2110001012111. The next prime is 2110001012173. The reversal of 2110001012137 is 7312101000112.

Together with next prime (2110001012173) 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., 2092799115801 + 17201896336 = 1446651^2 + 131156^2 .

It is a cyclic number.

It is not a de Polignac number, because 2110001012137 - 2¹⁹ = 2110000487849 is a prime.

It is not a weakly prime, because it can be changed into another prime (2110001010137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055000506068 + 1055000506069.

It is an arithmetic number, because the mean of its divisors is an integer number (1055000506069).

Almost surely, 2^{2110001012137} is an apocalyptic number.

It is an amenable number.

2110001012137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2110001012137 is an equidigital number, since it uses as much as digits as its factorization.

2110001012137 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 2110001012137 its reverse (7312101000112), we get a palindrome (9422102012249).

The spelling of 2110001012137 in words is "two trillion, one hundred ten billion, one million, twelve thousand, one hundred thirty-seven".