10221220101200 has 30 divisors (see below), whose sum is σ = 24556481294094. Its totient is φ = 4088488040320.

The previous prime is 10221220101187. The next prime is 10221220101203. The reversal of 10221220101200 is 210102212201.

It can be written as a sum of positive squares in 3 ways, for example, as 3663564433936 + 6557655667264 = 1914044^2 + 2560792^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221220101203) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 12776524727 + ... + 12776525526.

Almost surely, 2^{10221220101200} is an apocalyptic number.

10221220101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221220101200 is an abundant number, since it is smaller than the sum of its proper divisors (14335261192894).

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

10221220101200 is a wasteful number, since it uses less digits than its factorization.

10221220101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25553050271 (or 25553050260 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10221220101200 its reverse (210102212201), we get a palindrome (10431322313401).

The spelling of 10221220101200 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty million, one hundred one thousand, two hundred".