1009181909100 has 72 divisors (see below), whose sum is σ = 2932650510160. Its totient is φ = 267939982080.

The previous prime is 1009181909069. The next prime is 1009181909143. The reversal of 1009181909100 is 19091819001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7276147 + ... + 7413546.

Almost surely, 2^{1009181909100} is an apocalyptic number.

1009181909100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009181909100 is an abundant number, since it is smaller than the sum of its proper divisors (1923468601060).

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

1009181909100 is a wasteful number, since it uses less digits than its factorization.

1009181909100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14689939 (or 14689932 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 39.

Subtracting from 1009181909100 its reverse (19091819001), we obtain a palindrome (990090090099).

The spelling of 1009181909100 in words is "one trillion, nine billion, one hundred eighty-one million, nine hundred nine thousand, one hundred".