10022010211200 has 768 divisors, whose sum is σ = 37174495680000. Its totient is φ = 2354631966720.

The previous prime is 10022010211189. The next prime is 10022010211207. The reversal of 10022010211200 is 211201022001.

10022010211200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022010211207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1432326102 + ... + 1432333098.

It is an arithmetic number, because the mean of its divisors is an integer number (48404291250).

Almost surely, 2^{10022010211200} is an apocalyptic number.

10022010211200 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 10022010211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18587247840000).

10022010211200 is an abundant number, since it is smaller than the sum of its proper divisors (27152485468800).

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

10022010211200 is a wasteful number, since it uses less digits than its factorization.

10022010211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7559 (or 7542 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10022010211200 its reverse (211201022001), we get a palindrome (10233211233201).

The spelling of 10022010211200 in words is "ten trillion, twenty-two billion, ten million, two hundred eleven thousand, two hundred".