100122002002249 has 2 divisors, whose sum is σ = 100122002002250. Its totient is φ = 100122002002248.

The previous prime is 100122002002171. The next prime is 100122002002261. The reversal of 100122002002249 is 942200200221001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63157304382649 + 36964697619600 = 7947157^2 + 6079860^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122002002249 - 2¹⁹ = 100122001477961 is a prime.

It is not a weakly prime, because it can be changed into another prime (100122002092249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061001001124 + 50061001001125.

It is an arithmetic number, because the mean of its divisors is an integer number (50061001001125).

Almost surely, 2^{100122002002249} is an apocalyptic number.

It is an amenable number.

100122002002249 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122002002249 is an equidigital number, since it uses as much as digits as its factorization.

100122002002249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 100122002002249 in words is "one hundred trillion, one hundred twenty-two billion, two million, two thousand, two hundred forty-nine".