112232221101 has 192 divisors, whose sum is σ = 233280552960. Its totient is φ = 50083038720.

The previous prime is 112232221093. The next prime is 112232221109. The reversal of 112232221101 is 101122232211.

112232221101 is a `hidden beast` number, since 112 + 232 + 221 + 101 = 666.

It is an interprime number because it is at equal distance from previous prime (112232221093) and next prime (112232221109).

It is not a de Polignac number, because 112232221101 - 2³ = 112232221093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112232221109) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 7659340 + ... + 7673978.

It is an arithmetic number, because the mean of its divisors is an integer number (1215002880).

Almost surely, 2^112232221101 is an apocalyptic number.

112232221101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112232221101 is an abundant number, since it is smaller than the sum of its proper divisors (121048331859).

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

112232221101 is a wasteful number, since it uses less digits than its factorization.

112232221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14736 (or 14733 counting only the distinct ones).

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

Adding to 112232221101 its reverse (101122232211), we get a palindrome (213354453312).

It can be divided in two parts, 112232 and 221101, that added together give a palindrome (333333).

The spelling of 112232221101 in words is "one hundred twelve billion, two hundred thirty-two million, two hundred twenty-one thousand, one hundred one".