102020009 has 24 divisors (see below), whose sum is σ = 135337608. Its totient is φ = 75962880.

The previous prime is 102019997. The next prime is 102020021. The reversal of 102020009 is 900020201.

It is an interprime number because it is at equal distance from previous prime (102019997) and next prime (102020021).

It can be written as a sum of positive squares in 4 ways, for example, as 6528025 + 95491984 = 2555^2 + 9772^2 .

It is not a de Polignac number, because 102020009 - 2¹⁶ = 101954473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102019975 and 102020002.

It is not an unprimeable number, because it can be changed into a prime (102020059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6119 + ... + 15539.

It is an arithmetic number, because the mean of its divisors is an integer number (5639067).

Almost surely, 2^102020009 is an apocalyptic number.

It is an amenable number.

102020009 is a deficient number, since it is larger than the sum of its proper divisors (33317599).

102020009 is a wasteful number, since it uses less digits than its factorization.

102020009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9465 (or 9458 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 102020009 is about 10100.4954828959. The cubic root of 102020009 is about 467.2634226764.

The spelling of 102020009 in words is "one hundred two million, twenty thousand, nine".