10210010111117 has 2 divisors, whose sum is σ = 10210010111118. Its totient is φ = 10210010111116.

The previous prime is 10210010111089. The next prime is 10210010111129. The reversal of 10210010111117 is 71111101001201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7752721865641 + 2457288245476 = 2784371^2 + 1567574^2 .

It is a cyclic number.

It is not a de Polignac number, because 10210010111117 - 2⁶ = 10210010111053 is a prime.

It is a super-2 number, since 2×10210010111117² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10210010111095 and 10210010111104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10210010119117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105005055558 + 5105005055559.

It is an arithmetic number, because the mean of its divisors is an integer number (5105005055559).

Almost surely, 2^{10210010111117} is an apocalyptic number.

It is an amenable number.

10210010111117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10210010111117 is an equidigital number, since it uses as much as digits as its factorization.

10210010111117 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 17.

Adding to 10210010111117 its reverse (71111101001201), we get a palindrome (81321111112318).

The spelling of 10210010111117 in words is "ten trillion, two hundred ten billion, ten million, one hundred eleven thousand, one hundred seventeen".