11001101001090 has 64 divisors (see below), whose sum is σ = 26666820490752. Its totient is φ = 2904279840000.

The previous prime is 11001101001073. The next prime is 11001101001091. The reversal of 11001101001090 is 9010010110011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11001101001091) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 29816679 + ... + 30183381.

It is an arithmetic number, because the mean of its divisors is an integer number (416669070168).

Almost surely, 2^{11001101001090} is an apocalyptic number.

11001101001090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11001101001090 is an abundant number, since it is smaller than the sum of its proper divisors (15665719489662).

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

11001101001090 is a wasteful number, since it uses less digits than its factorization.

11001101001090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376715.

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 11001101001090 in words is "eleven trillion, one billion, one hundred one million, one thousand, ninety".