2117505101 has 2 divisors, whose sum is σ = 2117505102. Its totient is φ = 2117505100.

The previous prime is 2117505077. The next prime is 2117505109. The reversal of 2117505101 is 1015057112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1105629001 + 1011876100 = 33251^2 + 31810^2 .

It is a cyclic number.

It is not a de Polignac number, because 2117505101 - 2²⁶ = 2050396237 is a prime.

It is a super-2 number, since 2×2117505101² = 8967655705522040402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2117505109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1058752550 + 1058752551.

It is an arithmetic number, because the mean of its divisors is an integer number (1058752551).

Almost surely, 2^2117505101 is an apocalyptic number.

It is an amenable number.

2117505101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2117505101 is an equidigital number, since it uses as much as digits as its factorization.

2117505101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 350, while the sum is 23.

The square root of 2117505101 is about 46016.3568853511. The cubic root of 2117505101 is about 1284.1275249566.

The spelling of 2117505101 in words is "two billion, one hundred seventeen million, five hundred five thousand, one hundred one".