10221101221120 has 36 divisors (see below), whose sum is σ = 24482731521780. Its totient is φ = 4088440487936.

The previous prime is 10221101221103. The next prime is 10221101221139. The reversal of 10221101221120 is 2112210112201.

It can be written as a sum of positive squares in 2 ways, for example, as 2865896866816 + 7355204354304 = 1692896^2 + 2712048^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10221101221094 and 10221101221103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3992616385 + ... + 3992618944.

It is an arithmetic number, because the mean of its divisors is an integer number (680075875605).

Almost surely, 2^{10221101221120} is an apocalyptic number.

10221101221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221101221120 is an abundant number, since it is smaller than the sum of its proper divisors (14261630300660).

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

10221101221120 is an frugal number, since it uses more digits than its factorization.

10221101221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7985235350 (or 7985235336 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10221101221120 its reverse (2112210112201), we get a palindrome (12333311333321).

The spelling of 10221101221120 in words is "ten trillion, two hundred twenty-one billion, one hundred one million, two hundred twenty-one thousand, one hundred twenty".