11220002112100 has 36 divisors (see below), whose sum is σ = 24941243728548. Its totient is φ = 4378537408000.

The previous prime is 11220002112073. The next prime is 11220002112169. The reversal of 11220002112100 is 121120002211.

It can be written as a sum of positive squares in 6 ways, for example, as 3231962590756 + 7988039521344 = 1797766^2 + 2826312^2 .

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, 1368288841 + ... + 1368297040.

It is an arithmetic number, because the mean of its divisors is an integer number (692812325793).

Almost surely, 2^{11220002112100} is an apocalyptic number.

11220002112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220002112100 is an abundant number, since it is smaller than the sum of its proper divisors (13721241616448).

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

11220002112100 is a wasteful number, since it uses less digits than its factorization.

11220002112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736585936 (or 2736585929 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11220002112100 its reverse (121120002211), we get a palindrome (11341122114311).

The spelling of 11220002112100 in words is "eleven trillion, two hundred twenty billion, two million, one hundred twelve thousand, one hundred".