10021222213200 has 1440 divisors, whose sum is σ = 42039161678592. Its totient is φ = 2182422528000.

The previous prime is 10021222213199. The next prime is 10021222213207. The reversal of 10021222213200 is 231222212001.

10021222213200 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 122 + 221 + 320 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021222213207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1320141405 + ... + 1320148995.

Almost surely, 2^{10021222213200} is an apocalyptic number.

10021222213200 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 10021222213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21019580839296).

10021222213200 is an abundant number, since it is smaller than the sum of its proper divisors (32017939465392).

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

10021222213200 is a wasteful number, since it uses less digits than its factorization.

10021222213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7733 (or 7719 counting only the distinct ones).

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

Adding to 10021222213200 its reverse (231222212001), we get a palindrome (10252444425201).

The spelling of 10021222213200 in words is "ten trillion, twenty-one billion, two hundred twenty-two million, two hundred thirteen thousand, two hundred".