110100112121137 has 2 divisors, whose sum is σ = 110100112121138. Its totient is φ = 110100112121136.

The previous prime is 110100112121071. The next prime is 110100112121159. The reversal of 110100112121137 is 731121211001011.

It is an a-pointer prime, because the next prime (110100112121159) can be obtained adding 110100112121137 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104341955173681 + 5758156947456 = 10214791^2 + 2399616^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110100112121137 is a prime.

It is not a weakly prime, because it can be changed into another prime (110100112521137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050056060568 + 55050056060569.

It is an arithmetic number, because the mean of its divisors is an integer number (55050056060569).

Almost surely, 2^{110100112121137} is an apocalyptic number.

It is an amenable number.

110100112121137 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100112121137 is an equidigital number, since it uses as much as digits as its factorization.

110100112121137 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 110100112121137 its reverse (731121211001011), we get a palindrome (841221323122148).

The spelling of 110100112121137 in words is "one hundred ten trillion, one hundred billion, one hundred twelve million, one hundred twenty-one thousand, one hundred thirty-seven".