10222121000104 has 64 divisors (see below), whose sum is σ = 20913757578000. Its totient is φ = 4655724902400.

The previous prime is 10222121000101. The next prime is 10222121000153. The reversal of 10222121000104 is 40100012122201.

It can be written as a sum of positive squares in 8 ways, for example, as 694218907204 + 9527902092900 = 833198^2 + 3086730^2 .

It is not an unprimeable number, because it can be changed into a prime (10222121000101) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3626454 + ... + 5796154.

Almost surely, 2^{10222121000104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222121000104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10456878789000).

10222121000104 is an abundant number, since it is smaller than the sum of its proper divisors (10691636577896).

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

10222121000104 is a wasteful number, since it uses less digits than its factorization.

10222121000104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170318 (or 2170314 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10222121000104 its reverse (40100012122201), we get a palindrome (50322133122305).

The spelling of 10222121000104 in words is "ten trillion, two hundred twenty-two billion, one hundred twenty-one million, one hundred four", and thus it is an aban number.