112211101000 has 128 divisors (see below), whose sum is σ = 280776468960. Its totient is φ = 41825280000.

The previous prime is 112211100979. The next prime is 112211101003. The reversal of 112211101000 is 101112211.

It can be written as a sum of positive squares in 16 ways, for example, as 21370346596 + 90840754404 = 146186^2 + 301398^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (112211101003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1684324 + ... + 1749676.

Almost surely, 2^112211101000 is an apocalyptic number.

112211101000 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 112211101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140388234480).

112211101000 is an abundant number, since it is smaller than the sum of its proper divisors (168565367960).

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

112211101000 is a wasteful number, since it uses less digits than its factorization.

112211101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65492 (or 65478 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 112211101000 its reverse (101112211), we get a palindrome (112312213211).

It can be divided in two parts, 112 and 211101000, that added together give a palindrome (211101112).

The spelling of 112211101000 in words is "one hundred twelve billion, two hundred eleven million, one hundred one thousand".