20331022100009 has 2 divisors, whose sum is σ = 20331022100010. Its totient is φ = 20331022100008.

The previous prime is 20331022099979. The next prime is 20331022100027. The reversal of 20331022100009 is 90000122013302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12068432821225 + 8262589278784 = 3473965^2 + 2874472^2 .

It is a cyclic number.

It is not a de Polignac number, because 20331022100009 - 2²⁸ = 20330753664553 is a prime.

It is not a weakly prime, because it can be changed into another prime (20331022100509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10165511050004 + 10165511050005.

It is an arithmetic number, because the mean of its divisors is an integer number (10165511050005).

Almost surely, 2^{20331022100009} is an apocalyptic number.

It is an amenable number.

20331022100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

20331022100009 is an equidigital number, since it uses as much as digits as its factorization.

20331022100009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

The spelling of 20331022100009 in words is "twenty trillion, three hundred thirty-one billion, twenty-two million, one hundred thousand, nine".