12211303100100 has 144 divisors (see below), whose sum is σ = 38060631255360. Its totient is φ = 3004953638400.

The previous prime is 12211303100093. The next prime is 12211303100147. The reversal of 12211303100100 is 100130311221.

It is a happy number.

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 12211303100100.

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, 12520906 + ... + 13460894.

Almost surely, 2^{12211303100100} is an apocalyptic number.

12211303100100 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 12211303100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19030315627680).

12211303100100 is an abundant number, since it is smaller than the sum of its proper divisors (25849328155260).

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

12211303100100 is a wasteful number, since it uses less digits than its factorization.

12211303100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943350 (or 943343 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12211303100100 its reverse (100130311221), we get a palindrome (12311433411321).

The spelling of 12211303100100 in words is "twelve trillion, two hundred eleven billion, three hundred three million, one hundred thousand, one hundred".