10112001122117 has 2 divisors, whose sum is σ = 10112001122118. Its totient is φ = 10112001122116.

The previous prime is 10112001122101. The next prime is 10112001122131. The reversal of 10112001122117 is 71122110021101.

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., 8585568052996 + 1526433069121 = 2930114^2 + 1235489^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112001122117 - 2⁴ = 10112001122101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10112001122147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056000561058 + 5056000561059.

It is an arithmetic number, because the mean of its divisors is an integer number (5056000561059).

Almost surely, 2^{10112001122117} is an apocalyptic number.

It is an amenable number.

10112001122117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112001122117 is an equidigital number, since it uses as much as digits as its factorization.

10112001122117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 10112001122117 its reverse (71122110021101), we get a palindrome (81234111143218).

The spelling of 10112001122117 in words is "ten trillion, one hundred twelve billion, one million, one hundred twenty-two thousand, one hundred seventeen".