10132213822200 has 192 divisors, whose sum is σ = 35259641676000. Its totient is φ = 2674068664320.

The previous prime is 10132213822189. The next prime is 10132213822207. The reversal of 10132213822200 is 222831223101.

10132213822200 is a `hidden beast` number, since 1 + 0 + 1 + 322 + 138 + 2 + 2 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132213822207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9148035 + ... + 10195634.

Almost surely, 2^{10132213822200} is an apocalyptic number.

10132213822200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132213822200 is an abundant number, since it is smaller than the sum of its proper divisors (25127427853800).

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

10132213822200 is a wasteful number, since it uses less digits than its factorization.

10132213822200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19343791 (or 19343776 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 10132213822200 in words is "ten trillion, one hundred thirty-two billion, two hundred thirteen million, eight hundred twenty-two thousand, two hundred".