10004132212200 has 288 divisors, whose sum is σ = 38859428462400. Its totient is φ = 2259108449280.

The previous prime is 10004132212187. The next prime is 10004132212301. The reversal of 10004132212200 is 221223140001.

It is a happy number.

10004132212200 is a `hidden beast` number, since 10 + 0 + 0 + 413 + 2 + 21 + 220 + 0 = 666.

10004132212200 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 2×10004132212200² (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, 3737205 + ... + 5828804.

It is an arithmetic number, because the mean of its divisors is an integer number (134928571050).

Almost surely, 2^{10004132212200} is an apocalyptic number.

10004132212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004132212200 is an abundant number, since it is smaller than the sum of its proper divisors (28855296250200).

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

10004132212200 is a wasteful number, since it uses less digits than its factorization.

10004132212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9566121 (or 9566109 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10004132212200 its reverse (221223140001), we get a palindrome (10225355352201).

The spelling of 10004132212200 in words is "ten trillion, four billion, one hundred thirty-two million, two hundred twelve thousand, two hundred".