102100102020209 has 24 divisors (see below), whose sum is σ = 107884089540000. Its totient is φ = 96612020802432.

The previous prime is 102100102020199. The next prime is 102100102020211. The reversal of 102100102020209 is 902020201001201.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-102100102020209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102100102020239) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2644855502 + ... + 2644894104.

It is an arithmetic number, because the mean of its divisors is an integer number (4495170397500).

Almost surely, 2^{102100102020209} is an apocalyptic number.

102100102020209 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

102100102020209 is a deficient number, since it is larger than the sum of its proper divisors (5783987519791).

102100102020209 is an equidigital number, since it uses as much as digits as its factorization.

102100102020209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47117 (or 47098 counting only the distinct ones).

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

The spelling of 102100102020209 in words is "one hundred two trillion, one hundred billion, one hundred two million, twenty thousand, two hundred nine".