2102101117 has 2 divisors, whose sum is σ = 2102101118. Its totient is φ = 2102101116.

The previous prime is 2102101109. The next prime is 2102101213. The reversal of 2102101117 is 7111012012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1756364281 + 345736836 = 41909^2 + 18594^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102101117 - 2³ = 2102101109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2102101117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2102101517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051050558 + 1051050559.

It is an arithmetic number, because the mean of its divisors is an integer number (1051050559).

Almost surely, 2^2102101117 is an apocalyptic number.

It is an amenable number.

2102101117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102101117 is an equidigital number, since it uses as much as digits as its factorization.

2102101117 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 16.

The square root of 2102101117 is about 45848.6762840543. The cubic root of 2102101117 is about 1281.0061093990.

Adding to 2102101117 its reverse (7111012012), we get a palindrome (9213113129).

The spelling of 2102101117 in words is "two billion, one hundred two million, one hundred one thousand, one hundred seventeen".