11121122210100 has 72 divisors (see below), whose sum is σ = 36773844115008. Its totient is φ = 2541970790400.

The previous prime is 11121122210087. The next prime is 11121122210113. The reversal of 11121122210100 is 101222112111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11121122210087) and next prime (11121122210113).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11121122210100.

It is a congruent number.

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, 2647884141 + ... + 2647888340.

Almost surely, 2^{11121122210100} is an apocalyptic number.

11121122210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121122210100 is an abundant number, since it is smaller than the sum of its proper divisors (25652721904908).

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

11121122210100 is a wasteful number, since it uses less digits than its factorization.

11121122210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5295772505 (or 5295772498 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11121122210100 its reverse (101222112111), we get a palindrome (11222344322211).

The spelling of 11121122210100 in words is "eleven trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred ten thousand, one hundred".