11011221001000 has 128 divisors (see below), whose sum is σ = 28762334789760. Its totient is φ = 3910962048000.

The previous prime is 11011221000991. The next prime is 11011221001019. The reversal of 11011221001000 is 10012211011.

11011221001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11166769 + ... + 12112768.

It is an arithmetic number, because the mean of its divisors is an integer number (224705740545).

Almost surely, 2^{11011221001000} is an apocalyptic number.

11011221001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011221001000 is an abundant number, since it is smaller than the sum of its proper divisors (17751113788760).

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

11011221001000 is a wasteful number, since it uses less digits than its factorization.

11011221001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23279612 (or 23279598 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11011221001000 its reverse (10012211011), we get a palindrome (11021233212011).

It can be divided in two parts, 110112 and 21001000, that added together give a palindrome (21111112).

The spelling of 11011221001000 in words is "eleven trillion, eleven billion, two hundred twenty-one million, one thousand".