12010202201100 has 288 divisors, whose sum is σ = 35771613595200. Its totient is φ = 3109922816000.

The previous prime is 12010202201029. The next prime is 12010202201141. The reversal of 12010202201100 is 110220201021.

It is a super-2 number, since 2×12010202201100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 665708080 + ... + 665726120.

It is an arithmetic number, because the mean of its divisors is an integer number (124206991650).

Almost surely, 2^{12010202201100} is an apocalyptic number.

12010202201100 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 12010202201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17885806797600).

12010202201100 is an abundant number, since it is smaller than the sum of its proper divisors (23761411394100).

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

12010202201100 is a wasteful number, since it uses less digits than its factorization.

12010202201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18541 (or 18534 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12010202201100 its reverse (110220201021), we get a palindrome (12120422402121).

The spelling of 12010202201100 in words is "twelve trillion, ten billion, two hundred two million, two hundred one thousand, one hundred".