211102121212049 has 2 divisors, whose sum is σ = 211102121212050. Its totient is φ = 211102121212048.

The previous prime is 211102121212027. The next prime is 211102121212123. The reversal of 211102121212049 is 940212121201112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210566799246400 + 535321965649 = 14510920^2 + 731657^2 .

It is a cyclic number.

It is not a de Polignac number, because 211102121212049 - 2³⁶ = 211033401735313 is a prime.

It is not a weakly prime, because it can be changed into another prime (211102121212009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105551060606024 + 105551060606025.

It is an arithmetic number, because the mean of its divisors is an integer number (105551060606025).

Almost surely, 2^{211102121212049} is an apocalyptic number.

It is an amenable number.

211102121212049 is a deficient number, since it is larger than the sum of its proper divisors (1).

211102121212049 is an equidigital number, since it uses as much as digits as its factorization.

211102121212049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 29.

The spelling of 211102121212049 in words is "two hundred eleven trillion, one hundred two billion, one hundred twenty-one million, two hundred twelve thousand, forty-nine".