10000111101137 has 2 divisors, whose sum is σ = 10000111101138. Its totient is φ = 10000111101136.

The previous prime is 10000111101107. The next prime is 10000111101191. The reversal of 10000111101137 is 73110111100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8914428375616 + 1085682725521 = 2985704^2 + 1041961^2 .

It is an emirp because it is prime and its reverse (73110111100001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10000111101137 - 2²⁰ = 10000110052561 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000111101107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000055550568 + 5000055550569.

It is an arithmetic number, because the mean of its divisors is an integer number (5000055550569).

Almost surely, 2^{10000111101137} is an apocalyptic number.

It is an amenable number.

10000111101137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000111101137 is an equidigital number, since it uses as much as digits as its factorization.

10000111101137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21, while the sum is 17.

Adding to 10000111101137 its reverse (73110111100001), we get a palindrome (83110222201138).

The spelling of 10000111101137 in words is "ten trillion, one hundred eleven million, one hundred one thousand, one hundred thirty-seven".