1100112102221 has 32 divisors (see below), whose sum is σ = 1281553228800. Its totient is φ = 933774912000.

The previous prime is 1100112102197. The next prime is 1100112102223. The reversal of 1100112102221 is 1222012110011.

It is a de Polignac number, because none of the positive numbers 2^k-1100112102221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100112102196 and 1100112102205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100112102223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45113210 + ... + 45137588.

It is an arithmetic number, because the mean of its divisors is an integer number (40048538400).

Almost surely, 2^{1100112102221} is an apocalyptic number.

1100112102221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100112102221 is a deficient number, since it is larger than the sum of its proper divisors (181441126579).

1100112102221 is a wasteful number, since it uses less digits than its factorization.

1100112102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27521.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1100112102221 its reverse (1222012110011), we get a palindrome (2322124212232).

The spelling of 1100112102221 in words is "one trillion, one hundred billion, one hundred twelve million, one hundred two thousand, two hundred twenty-one".