10101112097 has 2 divisors, whose sum is σ = 10101112098. Its totient is φ = 10101112096.

The previous prime is 10101112081. The next prime is 10101112103. The reversal of 10101112097 is 79021110101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10101054016 + 58081 = 100504^2 + 241^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101112097 - 2⁴ = 10101112081 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101112027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050556048 + 5050556049.

It is an arithmetic number, because the mean of its divisors is an integer number (5050556049).

Almost surely, 2^10101112097 is an apocalyptic number.

It is an amenable number.

10101112097 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101112097 is an equidigital number, since it uses as much as digits as its factorization.

10101112097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 23.

Adding to 10101112097 its reverse (79021110101), we get a palindrome (89122222198).

The spelling of 10101112097 in words is "ten billion, one hundred one million, one hundred twelve thousand, ninety-seven".