10222120000100 has 36 divisors (see below), whose sum is σ = 22431236379300. Its totient is φ = 4042905884160.

The previous prime is 10222120000073. The next prime is 10222120000171. The reversal of 10222120000100 is 100002122201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3476703326464 + 6745416673636 = 1864592^2 + 2597194^2 .

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 11 ways as a sum of consecutive naturals, for example, 574267505 + ... + 574285304.

It is an arithmetic number, because the mean of its divisors is an integer number (623089899425).

Almost surely, 2^{10222120000100} is an apocalyptic number.

10222120000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222120000100 is an abundant number, since it is smaller than the sum of its proper divisors (12209116379200).

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

10222120000100 is a wasteful number, since it uses less digits than its factorization.

10222120000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148552912 (or 1148552905 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10222120000100 its reverse (100002122201), we get a palindrome (10322122122301).

The spelling of 10222120000100 in words is "ten trillion, two hundred twenty-two billion, one hundred twenty million, one hundred", and thus it is an aban number.