100221010220249 has 2 divisors, whose sum is σ = 100221010220250. Its totient is φ = 100221010220248.

The previous prime is 100221010220083. The next prime is 100221010220269. The reversal of 100221010220249 is 942022010122001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98919574172224 + 1301436048025 = 9945832^2 + 1140805^2 .

It is an emirp because it is prime and its reverse (942022010122001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100221010220249 - 2¹² = 100221010216153 is a prime.

It is a super-2 number, since 2×100221010220249² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100221010220269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110505110124 + 50110505110125.

It is an arithmetic number, because the mean of its divisors is an integer number (50110505110125).

Almost surely, 2^{100221010220249} is an apocalyptic number.

It is an amenable number.

100221010220249 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221010220249 is an equidigital number, since it uses as much as digits as its factorization.

100221010220249 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 26.

The spelling of 100221010220249 in words is "one hundred trillion, two hundred twenty-one billion, ten million, two hundred twenty thousand, two hundred forty-nine".