2112210100291 has 2 divisors, whose sum is σ = 2112210100292. Its totient is φ = 2112210100290.

The previous prime is 2112210100249. The next prime is 2112210100313. The reversal of 2112210100291 is 1920010122112.

It is an a-pointer prime, because the next prime (2112210100313) can be obtained adding 2112210100291 to its sum of digits (22).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2112210100291 - 2¹³ = 2112210092099 is a prime.

It is a super-2 number, since 2×2112210100291² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2112210100211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056105050145 + 1056105050146.

It is an arithmetic number, because the mean of its divisors is an integer number (1056105050146).

Almost surely, 2^{2112210100291} is an apocalyptic number.

2112210100291 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112210100291 is an equidigital number, since it uses as much as digits as its factorization.

2112210100291 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 2112210100291 in words is "two trillion, one hundred twelve billion, two hundred ten million, one hundred thousand, two hundred ninety-one".