11121111100100 has 72 divisors (see below), whose sum is σ = 24697359788640. Its totient is φ = 4344407988480.

The previous prime is 11121111100063. The next prime is 11121111100163. The reversal of 11121111100100 is 100111112111.

It is a happy number.

It is a super-2 number, since 2×11121111100100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32522816 + ... + 32862984.

Almost surely, 2^{11121111100100} is an apocalyptic number.

11121111100100 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 11121111100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12348679894320).

11121111100100 is an abundant number, since it is smaller than the sum of its proper divisors (13576248688540).

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

11121111100100 is a wasteful number, since it uses less digits than its factorization.

11121111100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347829 (or 347822 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 11121111100100 its reverse (100111112111), we get a palindrome (11221222212211).

The spelling of 11121111100100 in words is "eleven trillion, one hundred twenty-one billion, one hundred eleven million, one hundred thousand, one hundred".