11121130100 has 36 divisors (see below), whose sum is σ = 24138978444. Its totient is φ = 4447322880.

The previous prime is 11121130073. The next prime is 11121130109. The reversal of 11121130100 is 103112111.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 287234704 + 10833895396 = 16948^2 + 104086^2 .

It is a super-2 number, since 2×11121130100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121130109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 461552 + ... + 485048.

It is an arithmetic number, because the mean of its divisors is an integer number (670527179).

Almost surely, 2^11121130100 is an apocalyptic number.

11121130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121130100 is an abundant number, since it is smaller than the sum of its proper divisors (13017848344).

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

11121130100 is a wasteful number, since it uses less digits than its factorization.

11121130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28244 (or 28237 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 11121130100 its reverse (103112111), we get a palindrome (11224242211).

The spelling of 11121130100 in words is "eleven billion, one hundred twenty-one million, one hundred thirty thousand, one hundred".