10001200221220 has 24 divisors (see below), whose sum is σ = 22618098962424. Its totient is φ = 3692750850816.

The previous prime is 10001200221217. The next prime is 10001200221277. The reversal of 10001200221220 is 2212200210001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 860530811904 + 9140669409316 = 927648^2 + 3023354^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 10001200221220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19233077089 + ... + 19233077608.

It is an arithmetic number, because the mean of its divisors is an integer number (942420790101).

Almost surely, 2^{10001200221220} is an apocalyptic number.

10001200221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001200221220 is an abundant number, since it is smaller than the sum of its proper divisors (12616898741204).

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

10001200221220 is a wasteful number, since it uses less digits than its factorization.

10001200221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38466154719 (or 38466154717 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10001200221220 its reverse (2212200210001), we get a palindrome (12213400431221).

The spelling of 10001200221220 in words is "ten trillion, one billion, two hundred million, two hundred twenty-one thousand, two hundred twenty".