2009291101100 has 18 divisors (see below), whose sum is σ = 4360161689604. Its totient is φ = 803716440400.

The previous prime is 2009291101093. The next prime is 2009291101133. The reversal of 2009291101100 is 11011929002.

It is a self number, because there is not a number n which added to its sum of digits gives 2009291101100.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10046455406 + ... + 10046455605.

It is an arithmetic number, because the mean of its divisors is an integer number (242231204978).

Almost surely, 2^{2009291101100} is an apocalyptic number.

2009291101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2009291101100 is an abundant number, since it is smaller than the sum of its proper divisors (2350870588504).

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

2009291101100 is a wasteful number, since it uses less digits than its factorization.

2009291101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20092911025 (or 20092911018 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 26.

The spelling of 2009291101100 in words is "two trillion, nine billion, two hundred ninety-one million, one hundred one thousand, one hundred".