100112112097 has 2 divisors, whose sum is σ = 100112112098. Its totient is φ = 100112112096.

The previous prime is 100112112091. The next prime is 100112112223. The reversal of 100112112097 is 790211211001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71369656801 + 28742455296 = 267151^2 + 169536^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112112097 - 2²⁷ = 99977894369 is a prime.

It is not a weakly prime, because it can be changed into another prime (100112112091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056056048 + 50056056049.

It is an arithmetic number, because the mean of its divisors is an integer number (50056056049).

Almost surely, 2^100112112097 is an apocalyptic number.

It is an amenable number.

100112112097 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112112097 is an equidigital number, since it uses as much as digits as its factorization.

100112112097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 25.

Adding to 100112112097 its reverse (790211211001), we get a palindrome (890323323098).

The spelling of 100112112097 in words is "one hundred billion, one hundred twelve million, one hundred twelve thousand, ninety-seven".