102009182001 has 16 divisors (see below), whose sum is σ = 137411641920. Its totient is φ = 67306939200.

The previous prime is 102009181993. The next prime is 102009182083. The reversal of 102009182001 is 100281900201.

It is not a de Polignac number, because 102009182001 - 2³ = 102009181993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102009180001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 742371 + ... + 868983.

It is an arithmetic number, because the mean of its divisors is an integer number (8588227620).

Almost surely, 2^102009182001 is an apocalyptic number.

It is an amenable number.

102009182001 is a deficient number, since it is larger than the sum of its proper divisors (35402459919).

102009182001 is a wasteful number, since it uses less digits than its factorization.

102009182001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129376.

The product of its (nonzero) digits is 288, while the sum is 24.

The spelling of 102009182001 in words is "one hundred two billion, nine million, one hundred eighty-two thousand, one".