112211124100 has 36 divisors (see below), whose sum is σ = 245275527924. Its totient is φ = 44556820480.

The previous prime is 112211124097. The next prime is 112211124101. The reversal of 112211124100 is 1421112211.

It can be written as a sum of positive squares in 6 ways, for example, as 286083396 + 111925040704 = 16914^2 + 334552^2 .

It is a super-3 number, since 3×112211124100³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (112211124101) 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 11 ways as a sum of consecutive naturals, for example, 4081597 + ... + 4108996.

It is an arithmetic number, because the mean of its divisors is an integer number (6813209109).

Almost surely, 2^112211124100 is an apocalyptic number.

112211124100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112211124100 is an abundant number, since it is smaller than the sum of its proper divisors (133064403824).

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

112211124100 is a wasteful number, since it uses less digits than its factorization.

112211124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8190744 (or 8190737 counting only the distinct ones).

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

Adding to 112211124100 its reverse (1421112211), we get a palindrome (113632236311).

The spelling of 112211124100 in words is "one hundred twelve billion, two hundred eleven million, one hundred twenty-four thousand, one hundred".