11100002212000 has 384 divisors, whose sum is σ = 30221810918208. Its totient is φ = 3981219840000.

The previous prime is 11100002211917. The next prime is 11100002212007. The reversal of 11100002212000 is 21220000111.

It can be written as a sum of positive squares in 32 ways, for example, as 3437004535056 + 7662997676944 = 1853916^2 + 2768212^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11100002212007) 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 63 ways as a sum of consecutive naturals, for example, 278336062 + ... + 278375938.

Almost surely, 2^{11100002212000} is an apocalyptic number.

11100002212000 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 11100002212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15110905459104).

11100002212000 is an abundant number, since it is smaller than the sum of its proper divisors (19121808706208).

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

11100002212000 is a wasteful number, since it uses less digits than its factorization.

11100002212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40069 (or 40051 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11100002212000 its reverse (21220000111), we get a palindrome (11121222212111).

The spelling of 11100002212000 in words is "eleven trillion, one hundred billion, two million, two hundred twelve thousand".