1100010000990 has 128 divisors (see below), whose sum is σ = 2845372147200. Its totient is φ = 271265379840.

The previous prime is 1100010000989. The next prime is 1100010001001. The reversal of 1100010000990 is 990000100011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41874460 + ... + 41900720.

It is an arithmetic number, because the mean of its divisors is an integer number (22229469900).

Almost surely, 2^{1100010000990} is an apocalyptic number.

1100010000990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100010000990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422686073600).

1100010000990 is an abundant number, since it is smaller than the sum of its proper divisors (1745362146210).

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

1100010000990 is a wasteful number, since it uses less digits than its factorization.

1100010000990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28042.

The product of its (nonzero) digits is 81, while the sum is 21.

The spelling of 1100010000990 in words is "one trillion, one hundred billion, ten million, nine hundred ninety", and thus it is an aban number.