11001211321100 has 288 divisors, whose sum is σ = 33446365295616. Its totient is φ = 3027566361600.

The previous prime is 11001211321073. The next prime is 11001211321151. The reversal of 11001211321100 is 112311210011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86879 + ... + 4691478.

It is an arithmetic number, because the mean of its divisors is an integer number (116133212832).

Almost surely, 2^{11001211321100} is an apocalyptic number.

11001211321100 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 11001211321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16723182647808).

11001211321100 is an abundant number, since it is smaller than the sum of its proper divisors (22445153974516).

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

11001211321100 is a wasteful number, since it uses less digits than its factorization.

11001211321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4778425 (or 4778418 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 11001211321100 its reverse (112311210011), we get a palindrome (11113522531111).

It can be divided in two parts, 11001211 and 321100, that added together give a palindrome (11322311).

The spelling of 11001211321100 in words is "eleven trillion, one billion, two hundred eleven million, three hundred twenty-one thousand, one hundred".