12001100100 has 144 divisors (see below), whose sum is σ = 37997734656. Its totient is φ = 2900304000.

The previous prime is 12001100051. The next prime is 12001100107. The reversal of 12001100100 is 100110021.

It is a super-2 number, since 2×12001100100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (12001100107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1086807 + ... + 1097793.

Almost surely, 2^12001100100 is an apocalyptic number.

12001100100 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 12001100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18998867328).

12001100100 is an abundant number, since it is smaller than the sum of its proper divisors (25996634556).

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

12001100100 is a wasteful number, since it uses less digits than its factorization.

12001100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11346 (or 11339 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 12001100100 its reverse (100110021), we get a palindrome (12101210121).

It can be divided in two parts, 12001 and 100100, that added together give a triangular number (112101 = T₄₇₃).

The spelling of 12001100100 in words is "twelve billion, one million, one hundred thousand, one hundred".