102100009 has 8 divisors (see below), whose sum is σ = 112121280. Its totient is φ = 92202000.

The previous prime is 102100007. The next prime is 102100067. The reversal of 102100009 is 900001201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102100009 - 2¹ = 102100007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102100001) 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 7 ways as a sum of consecutive naturals, for example, 29074 + ... + 32395.

It is an arithmetic number, because the mean of its divisors is an integer number (14015160).

Almost surely, 2^102100009 is an apocalyptic number.

It is an amenable number.

102100009 is a deficient number, since it is larger than the sum of its proper divisors (10021271).

102100009 is a wasteful number, since it uses less digits than its factorization.

102100009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61631.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 102100009 is about 10104.4549086034. The cubic root of 102100009 is about 467.3855271783.

The spelling of 102100009 in words is "one hundred two million, one hundred thousand, nine".