10102001120117 has 2 divisors, whose sum is σ = 10102001120118. Its totient is φ = 10102001120116.

The previous prime is 10102001120111. The next prime is 10102001120129. The reversal of 10102001120117 is 71102110020101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7417092752356 + 2684908367761 = 2723434^2 + 1638569^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102001120117 - 2³⁶ = 10033281643381 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10102001120095 and 10102001120104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102001120111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051000560058 + 5051000560059.

It is an arithmetic number, because the mean of its divisors is an integer number (5051000560059).

Almost surely, 2^{10102001120117} is an apocalyptic number.

It is an amenable number.

10102001120117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102001120117 is an equidigital number, since it uses as much as digits as its factorization.

10102001120117 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 17.

Adding to 10102001120117 its reverse (71102110020101), we get a palindrome (81204111140218).

The spelling of 10102001120117 in words is "ten trillion, one hundred two billion, one million, one hundred twenty thousand, one hundred seventeen".