2212109103101 has 2 divisors, whose sum is σ = 2212109103102. Its totient is φ = 2212109103100.

The previous prime is 2212109103073. The next prime is 2212109103109. The reversal of 2212109103101 is 1013019012122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1622859427225 + 589249675876 = 1273915^2 + 767626^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212109103101 - 2¹⁴ = 2212109086717 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2212109103109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106054551550 + 1106054551551.

It is an arithmetic number, because the mean of its divisors is an integer number (1106054551551).

Almost surely, 2^{2212109103101} is an apocalyptic number.

It is an amenable number.

2212109103101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212109103101 is an equidigital number, since it uses as much as digits as its factorization.

2212109103101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 2212109103101 in words is "two trillion, two hundred twelve billion, one hundred nine million, one hundred three thousand, one hundred one".