11232222101100 has 1728 divisors, whose sum is σ = 48808851366912. Its totient is φ = 2084963328000.

The previous prime is 11232222101053. The next prime is 11232222101131. The reversal of 11232222101100 is 110122223211.

11232222101100 is a `hidden beast` number, since 1 + 12 + 322 + 221 + 0 + 110 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 7033325502 + ... + 7033327098.

Almost surely, 2^{11232222101100} is an apocalyptic number.

11232222101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11232222101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24404425683456).

11232222101100 is an abundant number, since it is smaller than the sum of its proper divisors (37576629265812).

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

11232222101100 is a wasteful number, since it uses less digits than its factorization.

11232222101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11232222101100 its reverse (110122223211), we get a palindrome (11342344324311).

The spelling of 11232222101100 in words is "eleven trillion, two hundred thirty-two billion, two hundred twenty-two million, one hundred one thousand, one hundred".