12201003133100 has 36 divisors (see below), whose sum is σ = 26476373075544. Its totient is φ = 4880365073280.

The previous prime is 12201003133073. The next prime is 12201003133127. The reversal of 12201003133100 is 133130010221.

It is an interprime number because it is at equal distance from previous prime (12201003133073) and next prime (12201003133127).

It is a super-2 number, since 2×12201003133100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16128944 + ... + 16868456.

It is an arithmetic number, because the mean of its divisors is an integer number (735454807654).

Almost surely, 2^{12201003133100} is an apocalyptic number.

12201003133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201003133100 is an abundant number, since it is smaller than the sum of its proper divisors (14275369942444).

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

12201003133100 is a wasteful number, since it uses less digits than its factorization.

12201003133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904514 (or 904507 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 12201003133100 its reverse (133130010221), we get a palindrome (12334133143321).

The spelling of 12201003133100 in words is "twelve trillion, two hundred one billion, three million, one hundred thirty-three thousand, one hundred".