100111233222 has 384 divisors, whose sum is σ = 312156149760. Its totient is φ = 22335160320.

The previous prime is 100111233203. The next prime is 100111233227. The reversal of 100111233222 is 222332111001.

100111233222 is a `hidden beast` number, since 100 + 111 + 233 + 222 = 666.

100111233222 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 100111233195 and 100111233204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111233227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15330054 + ... + 15336582.

It is an arithmetic number, because the mean of its divisors is an integer number (812906640).

Almost surely, 2^100111233222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100111233222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156078074880).

100111233222 is an abundant number, since it is smaller than the sum of its proper divisors (212044916538).

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

100111233222 is a wasteful number, since it uses less digits than its factorization.

100111233222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6628 (or 6625 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100111233222 its reverse (222332111001), we get a palindrome (322443344223).

It can be divided in two parts, 100111 and 233222, that added together give a palindrome (333333).

The spelling of 100111233222 in words is "one hundred billion, one hundred eleven million, two hundred thirty-three thousand, two hundred twenty-two".