2112212100109 has 2 divisors, whose sum is σ = 2112212100110. Its totient is φ = 2112212100108.

The previous prime is 2112212099999. The next prime is 2112212100121. The reversal of 2112212100109 is 9010012122112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1335307358025 + 776904742084 = 1155555^2 + 881422^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112212100109 - 2¹⁵ = 2112212067341 is a prime.

It is a super-2 number, since 2×2112212100109² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2112212100109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112212100139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056106050054 + 1056106050055.

It is an arithmetic number, because the mean of its divisors is an integer number (1056106050055).

Almost surely, 2^{2112212100109} is an apocalyptic number.

It is an amenable number.

2112212100109 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112212100109 is an equidigital number, since it uses as much as digits as its factorization.

2112212100109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 2112212100109 in words is "two trillion, one hundred twelve billion, two hundred twelve million, one hundred thousand, one hundred nine".