2102122112197 has 2 divisors, whose sum is σ = 2102122112198. Its totient is φ = 2102122112196.

The previous prime is 2102122112191. The next prime is 2102122112201. The reversal of 2102122112197 is 7912112212012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1786689362241 + 315432749956 = 1336671^2 + 561634^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102122112197 - 2²⁷ = 2101987894469 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2102122112191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051061056098 + 1051061056099.

It is an arithmetic number, because the mean of its divisors is an integer number (1051061056099).

Almost surely, 2^{2102122112197} is an apocalyptic number.

It is an amenable number.

2102122112197 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102122112197 is an equidigital number, since it uses as much as digits as its factorization.

2102122112197 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2016, while the sum is 31.

The spelling of 2102122112197 in words is "two trillion, one hundred two billion, one hundred twenty-two million, one hundred twelve thousand, one hundred ninety-seven".