1009100000090 has 64 divisors (see below), whose sum is σ = 2241772485120. Its totient is φ = 318473821440.

The previous prime is 1009100000059. The next prime is 1009100000093. The reversal of 1009100000090 is 900000019001.

1009100000090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1009100000093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1217741 + ... + 1871120.

It is an arithmetic number, because the mean of its divisors is an integer number (35027695080).

Almost surely, 2^{1009100000090} is an apocalyptic number.

1009100000090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1009100000090 is an abundant number, since it is smaller than the sum of its proper divisors (1232672485030).

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

1009100000090 is a wasteful number, since it uses less digits than its factorization.

1009100000090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089247.

The product of its (nonzero) digits is 81, while the sum is 20.

Adding to 1009100000090 its reverse (900000019001), we get a palindrome (1909100019091).

The spelling of 1009100000090 in words is "one trillion, nine billion, one hundred million, ninety", and thus it is an aban number.