101330102002249 has 2 divisors, whose sum is σ = 101330102002250. Its totient is φ = 101330102002248.

The previous prime is 101330102002153. The next prime is 101330102002273. The reversal of 101330102002249 is 942200201033101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101312921346624 + 17180655625 = 10065432^2 + 131075^2 .

It is a cyclic number.

It is not a de Polignac number, because 101330102002249 - 2²³ = 101330093613641 is a prime.

It is not a weakly prime, because it can be changed into another prime (101330102002849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665051001124 + 50665051001125.

It is an arithmetic number, because the mean of its divisors is an integer number (50665051001125).

Almost surely, 2^{101330102002249} is an apocalyptic number.

It is an amenable number.

101330102002249 is a deficient number, since it is larger than the sum of its proper divisors (1).

101330102002249 is an equidigital number, since it uses as much as digits as its factorization.

101330102002249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 101330102002249 in words is "one hundred one trillion, three hundred thirty billion, one hundred two million, two thousand, two hundred forty-nine".