100111211022049 has 2 divisors, whose sum is σ = 100111211022050. Its totient is φ = 100111211022048.

The previous prime is 100111211021993. The next prime is 100111211022091. The reversal of 100111211022049 is 940220112111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79929732957649 + 20181478064400 = 8940343^2 + 4492380^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100111211022049 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111211022749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055605511024 + 50055605511025.

It is an arithmetic number, because the mean of its divisors is an integer number (50055605511025).

Almost surely, 2^{100111211022049} is an apocalyptic number.

It is an amenable number.

100111211022049 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111211022049 is an equidigital number, since it uses as much as digits as its factorization.

100111211022049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 100111211022049 in words is "one hundred trillion, one hundred eleven billion, two hundred eleven million, twenty-two thousand, forty-nine".