2100122010109 has 2 divisors, whose sum is σ = 2100122010110. Its totient is φ = 2100122010108.

The previous prime is 2100122010071. The next prime is 2100122010227. The reversal of 2100122010109 is 9010102210012.

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., 1977764068900 + 122357941209 = 1406330^2 + 349797^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100122010109 - 2²⁵ = 2100088455677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100122080109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050061005054 + 1050061005055.

It is an arithmetic number, because the mean of its divisors is an integer number (1050061005055).

Almost surely, 2^{2100122010109} is an apocalyptic number.

It is an amenable number.

2100122010109 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100122010109 is an equidigital number, since it uses as much as digits as its factorization.

2100122010109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 2100122010109 in words is "two trillion, one hundred billion, one hundred twenty-two million, ten thousand, one hundred nine".