12011100100100 has 144 divisors (see below), whose sum is σ = 26690161251600. Its totient is φ = 4690699960320.

The previous prime is 12011100100091. The next prime is 12011100100151. The reversal of 12011100100100 is 100100111021.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 5012789633476 + 6998310466624 = 2238926^2 + 2645432^2 .

It is a super-2 number, since 2×12011100100100² (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 47 ways as a sum of consecutive naturals, for example, 284218172 + ... + 284260428.

It is an arithmetic number, because the mean of its divisors is an integer number (185348342025).

Almost surely, 2^{12011100100100} is an apocalyptic number.

12011100100100 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 12011100100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13345080625800).

12011100100100 is an abundant number, since it is smaller than the sum of its proper divisors (14679061151500).

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

12011100100100 is a wasteful number, since it uses less digits than its factorization.

12011100100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42762 (or 42755 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 12011100100100 its reverse (100100111021), we get a palindrome (12111200211121).

The spelling of 12011100100100 in words is "twelve trillion, eleven billion, one hundred million, one hundred thousand, one hundred".