10011112121137 has 2 divisors, whose sum is σ = 10011112121138. Its totient is φ = 10011112121136.

The previous prime is 10011112121123. The next prime is 10011112121167. The reversal of 10011112121137 is 73112121111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8102539478016 + 1908572643121 = 2846496^2 + 1381511^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011112121137 - 2³⁵ = 9976752382769 is a prime.

It is not a weakly prime, because it can be changed into another prime (10011112121167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005556060568 + 5005556060569.

It is an arithmetic number, because the mean of its divisors is an integer number (5005556060569).

Almost surely, 2^{10011112121137} is an apocalyptic number.

It is an amenable number.

10011112121137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011112121137 is an equidigital number, since it uses as much as digits as its factorization.

10011112121137 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 22.

Adding to 10011112121137 its reverse (73112121111001), we get a palindrome (83123233232138).

The spelling of 10011112121137 in words is "ten trillion, eleven billion, one hundred twelve million, one hundred twenty-one thousand, one hundred thirty-seven".