12201320033100 has 432 divisors, whose sum is σ = 43241966607840. Its totient is φ = 2851540070400.

The previous prime is 12201320033047. The next prime is 12201320033173. The reversal of 12201320033100 is 133002310221.

12201320033100 is a `hidden beast` number, since 1 + 220 + 132 + 0 + 0 + 3 + 310 + 0 = 666.

12201320033100 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 2×12201320033100² (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 143 ways as a sum of consecutive naturals, for example, 39773904 + ... + 40079496.

Almost surely, 2^{12201320033100} is an apocalyptic number.

12201320033100 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 12201320033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21620983303920).

12201320033100 is an abundant number, since it is smaller than the sum of its proper divisors (31040646574740).

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

12201320033100 is a wasteful number, since it uses less digits than its factorization.

12201320033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305770 (or 305760 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12201320033100 its reverse (133002310221), we get a palindrome (12334322343321).

The spelling of 12201320033100 in words is "twelve trillion, two hundred one billion, three hundred twenty million, thirty-three thousand, one hundred".