10022221000100 has 36 divisors (see below), whose sum is σ = 21796656682500. Its totient is φ = 3999959900160.

The previous prime is 10022221000091. The next prime is 10022221000159. The reversal of 10022221000100 is 100012222001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 817841687716 + 9204379312384 = 904346^2 + 3033872^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111561125 + ... + 111650924.

It is an arithmetic number, because the mean of its divisors is an integer number (605462685625).

Almost surely, 2^{10022221000100} is an apocalyptic number.

10022221000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022221000100 is an abundant number, since it is smaller than the sum of its proper divisors (11774435682400).

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

10022221000100 is a wasteful number, since it uses less digits than its factorization.

10022221000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223212512 (or 223212505 counting only the distinct ones).

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

Adding to 10022221000100 its reverse (100012222001), we get a palindrome (10122233222101).

It can be divided in two parts, 10022 and 221000100, that added together give a palindrome (221010122).

The spelling of 10022221000100 in words is "ten trillion, twenty-two billion, two hundred twenty-one million, one hundred", and thus it is an aban number.