11022112122100 has 36 divisors (see below), whose sum is σ = 23943509637964. Its totient is φ = 4404139534080.

The previous prime is 11022112122089. The next prime is 11022112122127. The reversal of 11022112122100 is 122121122011.

It can be written as a sum of positive squares in 6 ways, for example, as 2678367911184 + 8343744210916 = 1636572^2 + 2888554^2 .

It is a congruent number.

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, 58722267 + ... + 58909666.

Almost surely, 2^{11022112122100} is an apocalyptic number.

11022112122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11022112122100 is an abundant number, since it is smaller than the sum of its proper divisors (12921397515864).

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

11022112122100 is a wasteful number, since it uses less digits than its factorization.

11022112122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117632884 (or 117632877 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11022112122100 its reverse (122121122011), we get a palindrome (11144233244111).

The spelling of 11022112122100 in words is "eleven trillion, twenty-two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred".