2129201123117 has 2 divisors, whose sum is σ = 2129201123118. Its totient is φ = 2129201123116.

The previous prime is 2129201123099. The next prime is 2129201123149. The reversal of 2129201123117 is 7113211029212.

It is an a-pointer prime, because the next prime (2129201123149) can be obtained adding 2129201123117 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1678296931081 + 450904192036 = 1295491^2 + 671494^2 .

It is a cyclic number.

It is not a de Polignac number, because 2129201123117 - 2⁶ = 2129201123053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2129201123717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1064600561558 + 1064600561559.

It is an arithmetic number, because the mean of its divisors is an integer number (1064600561559).

Almost surely, 2^{2129201123117} is an apocalyptic number.

It is an amenable number.

2129201123117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2129201123117 is an equidigital number, since it uses as much as digits as its factorization.

2129201123117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 32.

The spelling of 2129201123117 in words is "two trillion, one hundred twenty-nine billion, two hundred one million, one hundred twenty-three thousand, one hundred seventeen".