12011120100 has 216 divisors, whose sum is σ = 44918270880. Its totient is φ = 2745368640.

The previous prime is 12011120087. The next prime is 12011120111. The reversal of 12011120100 is 102111021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86907 + ... + 177693.

Almost surely, 2^12011120100 is an apocalyptic number.

12011120100 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 12011120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22459135440).

12011120100 is an abundant number, since it is smaller than the sum of its proper divisors (32907150780).

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

12011120100 is a wasteful number, since it uses less digits than its factorization.

12011120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90824 (or 90804 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12011120100 its reverse (102111021), we get a palindrome (12113231121).

The spelling of 12011120100 in words is "twelve billion, eleven million, one hundred twenty thousand, one hundred".