110000011010137 has 2 divisors, whose sum is σ = 110000011010138. Its totient is φ = 110000011010136.

The previous prime is 110000011010077. The next prime is 110000011010147. The reversal of 110000011010137 is 731010110000011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105277121495296 + 4722889514841 = 10260464^2 + 2173221^2 .

It is a cyclic number.

It is not a de Polignac number, because 110000011010137 - 2²⁷ = 109999876792409 is a prime.

It is a super-2 number, since 2×110000011010137² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 110000011010137.

It is not a weakly prime, because it can be changed into another prime (110000011010147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55000005505068 + 55000005505069.

It is an arithmetic number, because the mean of its divisors is an integer number (55000005505069).

Almost surely, 2^{110000011010137} is an apocalyptic number.

It is an amenable number.

110000011010137 is a deficient number, since it is larger than the sum of its proper divisors (1).

110000011010137 is an equidigital number, since it uses as much as digits as its factorization.

110000011010137 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 16.

Adding to 110000011010137 its reverse (731010110000011), we get a palindrome (841010121010148).

The spelling of 110000011010137 in words is "one hundred ten trillion, eleven million, ten thousand, one hundred thirty-seven".