102012020102009 has 2 divisors, whose sum is σ = 102012020102010. Its totient is φ = 102012020102008.

The previous prime is 102012020101993. The next prime is 102012020102099. The reversal of 102012020102009 is 900201020210201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98886715872400 + 3125304229609 = 9944180^2 + 1767853^2 .

It is a cyclic number.

It is not a de Polignac number, because 102012020102009 - 2⁴ = 102012020101993 is a prime.

It is not a weakly prime, because it can be changed into another prime (102012020102099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51006010051004 + 51006010051005.

It is an arithmetic number, because the mean of its divisors is an integer number (51006010051005).

Almost surely, 2^{102012020102009} is an apocalyptic number.

It is an amenable number.

102012020102009 is a deficient number, since it is larger than the sum of its proper divisors (1).

102012020102009 is an equidigital number, since it uses as much as digits as its factorization.

102012020102009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 102012020102009 in words is "one hundred two trillion, twelve billion, twenty million, one hundred two thousand, nine".