10222210221200 has 60 divisors (see below), whose sum is σ = 26003498900580. Its totient is φ = 3848361492480.

The previous prime is 10222210221199. The next prime is 10222210221221. The reversal of 10222210221200 is 212201222201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 490106405776 + 9732103815424 = 700076^2 + 3119632^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 751626305 + ... + 751639904.

It is an arithmetic number, because the mean of its divisors is an integer number (433391648343).

Almost surely, 2^{10222210221200} is an apocalyptic number.

10222210221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222210221200 is an abundant number, since it is smaller than the sum of its proper divisors (15781288679380).

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

10222210221200 is a wasteful number, since it uses less digits than its factorization.

10222210221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503266244 (or 1503266233 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10222210221200 its reverse (212201222201), we get a palindrome (10434411443401).

The spelling of 10222210221200 in words is "ten trillion, two hundred twenty-two billion, two hundred ten million, two hundred twenty-one thousand, two hundred".