110102112202169 has 2 divisors, whose sum is σ = 110102112202170. Its totient is φ = 110102112202168.

The previous prime is 110102112202081. The next prime is 110102112202171. The reversal of 110102112202169 is 961202211201011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67371050592169 + 42731061610000 = 8207987^2 + 6536900^2 .

It is a cyclic number.

It is not a de Polignac number, because 110102112202169 - 2²⁸ = 110101843766713 is a prime.

It is a super-3 number, since 3×110102112202169³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 110102112202171, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (110102112232169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55051056101084 + 55051056101085.

It is an arithmetic number, because the mean of its divisors is an integer number (55051056101085).

Almost surely, 2^{110102112202169} is an apocalyptic number.

It is an amenable number.

110102112202169 is a deficient number, since it is larger than the sum of its proper divisors (1).

110102112202169 is an equidigital number, since it uses as much as digits as its factorization.

110102112202169 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 29.

The spelling of 110102112202169 in words is "one hundred ten trillion, one hundred two billion, one hundred twelve million, two hundred two thousand, one hundred sixty-nine".