110001001011137 has 2 divisors, whose sum is σ = 110001001011138. Its totient is φ = 110001001011136.

The previous prime is 110001001011029. The next prime is 110001001011149. The reversal of 110001001011137 is 731110100100011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106323815086336 + 3677185924801 = 10311344^2 + 1917599^2 .

It is a cyclic number.

It is not a de Polignac number, because 110001001011137 - 2¹⁸ = 110001000748993 is a prime.

It is not a weakly prime, because it can be changed into another prime (110001001011637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55000500505568 + 55000500505569.

It is an arithmetic number, because the mean of its divisors is an integer number (55000500505569).

Almost surely, 2^{110001001011137} is an apocalyptic number.

It is an amenable number.

110001001011137 is a deficient number, since it is larger than the sum of its proper divisors (1).

110001001011137 is an equidigital number, since it uses as much as digits as its factorization.

110001001011137 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 110001001011137 its reverse (731110100100011), we get a palindrome (841111101111148).

The spelling of 110001001011137 in words is "one hundred ten trillion, one billion, one million, eleven thousand, one hundred thirty-seven".