10220221201200 has 60 divisors (see below), whose sum is σ = 32738775251688. Its totient is φ = 2725392320000.

The previous prime is 10220221201189. The next prime is 10220221201207. The reversal of 10220221201200 is 210212202201.

10220221201200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10220221201200.

It is not an unprimeable number, because it can be changed into a prime (10220221201207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4258424301 + ... + 4258426700.

Almost surely, 2^{10220221201200} is an apocalyptic number.

10220221201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220221201200 is an abundant number, since it is smaller than the sum of its proper divisors (22518554050488).

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

10220221201200 is a wasteful number, since it uses less digits than its factorization.

10220221201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8516851022 (or 8516851011 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10220221201200 its reverse (210212202201), we get a palindrome (10430433403401).

It can be divided in two parts, 1022022 and 1201200, that added together give a palindrome (2223222).

The spelling of 10220221201200 in words is "ten trillion, two hundred twenty billion, two hundred twenty-one million, two hundred one thousand, two hundred".