12011102213100 has 288 divisors, whose sum is σ = 37994268211200. Its totient is φ = 2916468633600.

The previous prime is 12011102213093. The next prime is 12011102213113. The reversal of 12011102213100 is 131220111021.

It is a super-2 number, since 2×12011102213100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12011102213100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 685987146 + ... + 686004654.

It is an arithmetic number, because the mean of its divisors is an integer number (131924542400).

Almost surely, 2^{12011102213100} is an apocalyptic number.

12011102213100 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 12011102213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18997134105600).

12011102213100 is an abundant number, since it is smaller than the sum of its proper divisors (25983165998100).

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

12011102213100 is a wasteful number, since it uses less digits than its factorization.

12011102213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21913 (or 21906 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12011102213100 its reverse (131220111021), we get a palindrome (12142322324121).

The spelling of 12011102213100 in words is "twelve trillion, eleven billion, one hundred two million, two hundred thirteen thousand, one hundred".