101001221022049 has 2 divisors, whose sum is σ = 101001221022050. Its totient is φ = 101001221022048.

The previous prime is 101001221022001. The next prime is 101001221022067. The reversal of 101001221022049 is 940220122100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100073913653025 + 927307369024 = 10003695^2 + 962968^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101001221022049 is a prime.

It is not a weakly prime, because it can be changed into another prime (101001221025049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500610511024 + 50500610511025.

It is an arithmetic number, because the mean of its divisors is an integer number (50500610511025).

Almost surely, 2^{101001221022049} is an apocalyptic number.

It is an amenable number.

101001221022049 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001221022049 is an equidigital number, since it uses as much as digits as its factorization.

101001221022049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 101001221022049 in words is "one hundred one trillion, one billion, two hundred twenty-one million, twenty-two thousand, forty-nine".