1322112120100 has 36 divisors (see below), whose sum is σ = 2923115072724. Its totient is φ = 518866641280.

The previous prime is 1322112120089. The next prime is 1322112120127. The reversal of 1322112120100 is 10212112231.

It can be written as a sum of positive squares in 6 ways, for example, as 8342264896 + 1313769855204 = 91336^2 + 1146198^2 .

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, 124722259 + ... + 124732858.

It is an arithmetic number, because the mean of its divisors is an integer number (81197640909).

Almost surely, 2^{1322112120100} is an apocalyptic number.

1322112120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1322112120100 is an abundant number, since it is smaller than the sum of its proper divisors (1601002952624).

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

1322112120100 is a wasteful number, since it uses less digits than its factorization.

1322112120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249455184 (or 249455177 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1322112120100 its reverse (10212112231), we get a palindrome (1332324232331).

The spelling of 1322112120100 in words is "one trillion, three hundred twenty-two billion, one hundred twelve million, one hundred twenty thousand, one hundred".