12011020201100 has 144 divisors (see below), whose sum is σ = 26874469923840. Its totient is φ = 4657121548800.

The previous prime is 12011020201087. The next prime is 12011020201109. The reversal of 12011020201100 is 110202011021.

It is not an unprimeable number, because it can be changed into a prime (12011020201109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282650855 + ... + 282693345.

It is an arithmetic number, because the mean of its divisors is an integer number (186628263360).

Almost surely, 2^{12011020201100} is an apocalyptic number.

12011020201100 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 12011020201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13437234961920).

12011020201100 is an abundant number, since it is smaller than the sum of its proper divisors (14863449722740).

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

12011020201100 is a wasteful number, since it uses less digits than its factorization.

12011020201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43128 (or 43121 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12011020201100 its reverse (110202011021), we get a palindrome (12121222212121).

The spelling of 12011020201100 in words is "twelve trillion, eleven billion, twenty million, two hundred one thousand, one hundred".