101112111097 has 8 divisors (see below), whose sum is σ = 107062669512. Its totient is φ = 95161862400.

The previous prime is 101112111077. The next prime is 101112111127. The reversal of 101112111097 is 790111211101.

It can be written as a sum of positive squares in 4 ways, for example, as 80196009721 + 20916101376 = 283189^2 + 144624^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101112111097 - 2¹⁵ = 101112078329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101112111047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1158447 + ... + 1242667.

It is an arithmetic number, because the mean of its divisors is an integer number (13382833689).

Almost surely, 2^101112111097 is an apocalyptic number.

101112111097 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

101112111097 is a deficient number, since it is larger than the sum of its proper divisors (5950558415).

101112111097 is an equidigital number, since it uses as much as digits as its factorization.

101112111097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154859.

The product of its (nonzero) digits is 126, while the sum is 25.

Adding to 101112111097 its reverse (790111211101), we get a palindrome (891223322198).

The spelling of 101112111097 in words is "one hundred one billion, one hundred twelve million, one hundred eleven thousand, ninety-seven".