112221110100 has 288 divisors, whose sum is σ = 373296107520. Its totient is φ = 25762880000.

The previous prime is 112221110083. The next prime is 112221110119. The reversal of 112221110100 is 1011122211.

It is a super-3 number, since 3×112221110100³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7658581 + ... + 7673219.

It is an arithmetic number, because the mean of its divisors is an integer number (1296167040).

Almost surely, 2^112221110100 is an apocalyptic number.

112221110100 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 112221110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186648053760).

112221110100 is an abundant number, since it is smaller than the sum of its proper divisors (261074997420).

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

112221110100 is a wasteful number, since it uses less digits than its factorization.

112221110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14791 (or 14784 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112221110100 its reverse (1011122211), we get a palindrome (113232232311).

It can be divided in two parts, 1122211 and 10100, that added together give a palindrome (1132311).

The spelling of 112221110100 in words is "one hundred twelve billion, two hundred twenty-one million, one hundred ten thousand, one hundred".