2122100016109 has 2 divisors, whose sum is σ = 2122100016110. Its totient is φ = 2122100016108.

The previous prime is 2122100016107. The next prime is 2122100016119. The reversal of 2122100016109 is 9016100012212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2085265962025 + 36834054084 = 1444045^2 + 191922^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122100016109 - 2¹ = 2122100016107 is a prime.

Together with 2122100016107, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122100016107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061050008054 + 1061050008055.

It is an arithmetic number, because the mean of its divisors is an integer number (1061050008055).

Almost surely, 2^{2122100016109} is an apocalyptic number.

It is an amenable number.

2122100016109 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122100016109 is an equidigital number, since it uses as much as digits as its factorization.

2122100016109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 2122100016109 in words is "two trillion, one hundred twenty-two billion, one hundred million, sixteen thousand, one hundred nine".