11221101010000 has 400 divisors, whose sum is σ = 32023971048960. Its totient is φ = 3727987200000.

The previous prime is 11221101009991. The next prime is 11221101010037. The reversal of 11221101010000 is 1010112211.

11221101010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 332273116 + ... + 332306884.

Almost surely, 2^{11221101010000} is an apocalyptic number.

11221101010000 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 11221101010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16011985524480).

11221101010000 is an abundant number, since it is smaller than the sum of its proper divisors (20802870038960).

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

11221101010000 is a wasteful number, since it uses less digits than its factorization.

11221101010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33952 (or 33931 counting only the distinct ones).

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

Adding to 11221101010000 its reverse (1010112211), we get a palindrome (11222111122211).

It can be divided in two parts, 112 and 21101010000, that added together give a palindrome (21101010112).

The spelling of 11221101010000 in words is "eleven trillion, two hundred twenty-one billion, one hundred one million, ten thousand".