112101012100117 has 2 divisors, whose sum is σ = 112101012100118. Its totient is φ = 112101012100116.

The previous prime is 112101012100109. The next prime is 112101012100127. The reversal of 112101012100117 is 711001210101211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63271858918321 + 48829153181796 = 7954361^2 + 6987786^2 .

It is a cyclic number.

It is not a de Polignac number, because 112101012100117 - 2³ = 112101012100109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112101012100094 and 112101012100103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112101012100127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56050506050058 + 56050506050059.

It is an arithmetic number, because the mean of its divisors is an integer number (56050506050059).

Almost surely, 2^{112101012100117} is an apocalyptic number.

It is an amenable number.

112101012100117 is a deficient number, since it is larger than the sum of its proper divisors (1).

112101012100117 is an equidigital number, since it uses as much as digits as its factorization.

112101012100117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 19.

Adding to 112101012100117 its reverse (711001210101211), we get a palindrome (823102222201328).

The spelling of 112101012100117 in words is "one hundred twelve trillion, one hundred one billion, twelve million, one hundred thousand, one hundred seventeen".