10102211117 has 2 divisors, whose sum is σ = 10102211118. Its totient is φ = 10102211116.

The previous prime is 10102211107. The next prime is 10102211129. The reversal of 10102211117 is 71111220101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9195659236 + 906551881 = 95894^2 + 30109^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102211117 - 2²⁴ = 10085433901 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10102211095 and 10102211104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102211107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051105558 + 5051105559.

It is an arithmetic number, because the mean of its divisors is an integer number (5051105559).

Almost surely, 2^10102211117 is an apocalyptic number.

It is an amenable number.

10102211117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102211117 is an equidigital number, since it uses as much as digits as its factorization.

10102211117 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 10102211117 its reverse (71111220101), we get a palindrome (81213431218).

The spelling of 10102211117 in words is "ten billion, one hundred two million, two hundred eleven thousand, one hundred seventeen".