1009091910100 has 36 divisors (see below), whose sum is σ = 2191534926364. Its totient is φ = 403303956480.

The previous prime is 1009091910041. The next prime is 1009091910103. The reversal of 1009091910100 is 10191909001.

1009091910100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2910386704 + 1006181523396 = 53948^2 + 1003086^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009091910103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4038189 + ... + 4280788.

Almost surely, 2^{1009091910100} is an apocalyptic number.

1009091910100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009091910100 is an abundant number, since it is smaller than the sum of its proper divisors (1182443016264).

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

1009091910100 is a wasteful number, since it uses less digits than its factorization.

1009091910100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8320204 (or 8320197 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 31.

It can be divided in two parts, 1009091 and 910100, that added together give a palindrome (1919191).

The spelling of 1009091910100 in words is "one trillion, nine billion, ninety-one million, nine hundred ten thousand, one hundred".