1002009200100 has 72 divisors (see below), whose sum is σ = 2907046520448. Its totient is φ = 266474352000.

The previous prime is 1002009200077. The next prime is 1002009200111. The reversal of 1002009200100 is 10029002001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1002009200100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4440351 + ... + 4660550.

Almost surely, 2^{1002009200100} is an apocalyptic number.

1002009200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002009200100 is an abundant number, since it is smaller than the sum of its proper divisors (1905037320348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1002009200100 is a wasteful number, since it uses less digits than its factorization.

1002009200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9101285 (or 9101278 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The spelling of 1002009200100 in words is "one trillion, two billion, nine million, two hundred thousand, one hundred".