1101000112117 has 2 divisors, whose sum is σ = 1101000112118. Its totient is φ = 1101000112116.

The previous prime is 1101000112087. The next prime is 1101000112123. The reversal of 1101000112117 is 7112110001011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1019051889361 + 81948222756 = 1009481^2 + 286266^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101000112117 - 2¹⁵ = 1101000079349 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1101000112117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1101000112217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550500056058 + 550500056059.

It is an arithmetic number, because the mean of its divisors is an integer number (550500056059).

Almost surely, 2^{1101000112117} is an apocalyptic number.

It is an amenable number.

1101000112117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101000112117 is an equidigital number, since it uses as much as digits as its factorization.

1101000112117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14, while the sum is 16.

Adding to 1101000112117 its reverse (7112110001011), we get a palindrome (8213110113128).

The spelling of 1101000112117 in words is "one trillion, one hundred one billion, one hundred twelve thousand, one hundred seventeen".