12011333102100 has 216 divisors, whose sum is σ = 38107962809280. Its totient is φ = 3164031383040.

The previous prime is 12011333102077. The next prime is 12011333102141. The reversal of 12011333102100 is 120133311021.

12011333102100 is a `hidden beast` number, since 1 + 201 + 133 + 310 + 21 + 0 + 0 = 666.

12011333102100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85075767 + ... + 85216833.

Almost surely, 2^{12011333102100} is an apocalyptic number.

12011333102100 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 12011333102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19053981404640).

12011333102100 is an abundant number, since it is smaller than the sum of its proper divisors (26096629707180).

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

12011333102100 is a wasteful number, since it uses less digits than its factorization.

12011333102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142239 (or 142229 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12011333102100 its reverse (120133311021), we get a palindrome (12131466413121).

The spelling of 12011333102100 in words is "twelve trillion, eleven billion, three hundred thirty-three million, one hundred two thousand, one hundred".