101110211117 has 2 divisors, whose sum is σ = 101110211118. Its totient is φ = 101110211116.

The previous prime is 101110211113. The next prime is 101110211249. The reversal of 101110211117 is 711112011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100749742921 + 360468196 = 317411^2 + 18986^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110211117 - 2² = 101110211113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101110211095 and 101110211104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110211113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555105558 + 50555105559.

It is an arithmetic number, because the mean of its divisors is an integer number (50555105559).

Almost surely, 2^101110211117 is an apocalyptic number.

It is an amenable number.

101110211117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110211117 is an equidigital number, since it uses as much as digits as its factorization.

101110211117 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 101110211117 its reverse (711112011101), we get a palindrome (812222222218).

The spelling of 101110211117 in words is "one hundred one billion, one hundred ten million, two hundred eleven thousand, one hundred seventeen".