11121100001 has 32 divisors (see below), whose sum is σ = 13537518336. Its totient is φ = 9011200000.

The previous prime is 11121099923. The next prime is 11121100009. The reversal of 11121100001 is 10000112111.

It is a happy number.

11121100001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-11121100001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11121100009) 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 31 ways as a sum of consecutive naturals, for example, 421601 + ... + 447201.

It is an arithmetic number, because the mean of its divisors is an integer number (423047448).

Almost surely, 2^11121100001 is an apocalyptic number.

11121100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11121100001 is a deficient number, since it is larger than the sum of its proper divisors (2416418335).

11121100001 is a wasteful number, since it uses less digits than its factorization.

11121100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25753.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11121100001 its reverse (10000112111), we get a palindrome (21121212112).

It can be divided in two parts, 111 and 21100001, that added together give a palindrome (21100112).

The spelling of 11121100001 in words is "eleven billion, one hundred twenty-one million, one hundred thousand, one".