2100213122197 has 2 divisors, whose sum is σ = 2100213122198. Its totient is φ = 2100213122196.

The previous prime is 2100213122009. The next prime is 2100213122201. The reversal of 2100213122197 is 7912213120012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1985996836516 + 114216285681 = 1409254^2 + 337959^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100213122197 - 2¹¹ = 2100213120149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100213122597) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050106561098 + 1050106561099.

It is an arithmetic number, because the mean of its divisors is an integer number (1050106561099).

Almost surely, 2^{2100213122197} is an apocalyptic number.

It is an amenable number.

2100213122197 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100213122197 is an equidigital number, since it uses as much as digits as its factorization.

2100213122197 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 31.

The spelling of 2100213122197 in words is "two trillion, one hundred billion, two hundred thirteen million, one hundred twenty-two thousand, one hundred ninety-seven".