11101233022000 has 320 divisors, whose sum is σ = 29503639646208. Its totient is φ = 4006513920000.

The previous prime is 11101233021997. The next prime is 11101233022091. The reversal of 11101233022000 is 22033210111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1702378740 + ... + 1702385260.

Almost surely, 2^{11101233022000} is an apocalyptic number.

11101233022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11101233022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14751819823104).

11101233022000 is an abundant number, since it is smaller than the sum of its proper divisors (18402406624208).

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

11101233022000 is a wasteful number, since it uses less digits than its factorization.

11101233022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7125 (or 7109 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11101233022000 its reverse (22033210111), we get a palindrome (11123266232111).

The spelling of 11101233022000 in words is "eleven trillion, one hundred one billion, two hundred thirty-three million, twenty-two thousand".