10001020121137 has 2 divisors, whose sum is σ = 10001020121138. Its totient is φ = 10001020121136.

The previous prime is 10001020121111. The next prime is 10001020121143. The reversal of 10001020121137 is 73112102010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5433379183521 + 4567640937616 = 2330961^2 + 2137204^2 .

It is an emirp because it is prime and its reverse (73112102010001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10001020121137 - 2¹⁵ = 10001020088369 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001020121737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000510060568 + 5000510060569.

It is an arithmetic number, because the mean of its divisors is an integer number (5000510060569).

Almost surely, 2^{10001020121137} is an apocalyptic number.

It is an amenable number.

10001020121137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001020121137 is an equidigital number, since it uses as much as digits as its factorization.

10001020121137 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10001020121137 its reverse (73112102010001), we get a palindrome (83113122131138).

The spelling of 10001020121137 in words is "ten trillion, one billion, twenty million, one hundred twenty-one thousand, one hundred thirty-seven".