101330101202009 has 2 divisors, whose sum is σ = 101330101202010. Its totient is φ = 101330101202008.

The previous prime is 101330101201961. The next prime is 101330101202053. The reversal of 101330101202009 is 900202101033101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70120057507984 + 31210043694025 = 8373772^2 + 5586595^2 .

It is a cyclic number.

It is not a de Polignac number, because 101330101202009 - 2²⁰ = 101330100153433 is a prime.

It is not a weakly prime, because it can be changed into another prime (101330101202089) 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, 50665050601004 + 50665050601005.

It is an arithmetic number, because the mean of its divisors is an integer number (50665050601005).

Almost surely, 2^{101330101202009} is an apocalyptic number.

It is an amenable number.

101330101202009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101330101202009 is an equidigital number, since it uses as much as digits as its factorization.

101330101202009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

The spelling of 101330101202009 in words is "one hundred one trillion, three hundred thirty billion, one hundred one million, two hundred two thousand, nine".