12221130032100 has 216 divisors, whose sum is σ = 41820875355168. Its totient is φ = 2960428262400.

The previous prime is 12221130032047. The next prime is 12221130032119. The reversal of 12221130032100 is 123003112221.

12221130032100 is a `hidden beast` number, since 1 + 22 + 21 + 1 + 300 + 321 + 0 + 0 = 666.

12221130032100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12221130032100² (a number of 27 digits) contains 22 as substring.

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

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, 12467052 + ... + 13411548.

Almost surely, 2^{12221130032100} is an apocalyptic number.

12221130032100 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 12221130032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20910437677584).

12221130032100 is an abundant number, since it is smaller than the sum of its proper divisors (29599745323068).

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

12221130032100 is a wasteful number, since it uses less digits than its factorization.

12221130032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945835 (or 945825 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12221130032100 its reverse (123003112221), we get a palindrome (12344133144321).

The spelling of 12221130032100 in words is "twelve trillion, two hundred twenty-one billion, one hundred thirty million, thirty-two thousand, one hundred".