101020002020009 has 2 divisors, whose sum is σ = 101020002020010. Its totient is φ = 101020002020008.

The previous prime is 101020002019939. The next prime is 101020002020053. The reversal of 101020002020009 is 900020200020101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100981496592025 + 38505427984 = 10048955^2 + 196228^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020002020009 - 2⁸ = 101020002019753 is a prime.

It is not a weakly prime, because it can be changed into another prime (101020002020909) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510001010004 + 50510001010005.

It is an arithmetic number, because the mean of its divisors is an integer number (50510001010005).

Almost surely, 2^{101020002020009} is an apocalyptic number.

It is an amenable number.

101020002020009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020002020009 is an equidigital number, since it uses as much as digits as its factorization.

101020002020009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

The spelling of 101020002020009 in words is "one hundred one trillion, twenty billion, two million, twenty thousand, nine".