112111222011100 has 108 divisors (see below), whose sum is σ = 263797224219984. Its totient is φ = 41337968855040.

The previous prime is 112111222011077. The next prime is 112111222011121. The reversal of 112111222011100 is 1110222111211.

It is a super-2 number, since 2×112111222011100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7723852 + ... + 16848748.

Almost surely, 2^{112111222011100} is an apocalyptic number.

112111222011100 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 112111222011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131898612109992).

112111222011100 is an abundant number, since it is smaller than the sum of its proper divisors (151686002208884).

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

112111222011100 is a wasteful number, since it uses less digits than its factorization.

112111222011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9125664 (or 9125644 counting only the distinct ones).

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

Adding to 112111222011100 its reverse (1110222111211), we get a palindrome (113221444122311).

The spelling of 112111222011100 in words is "one hundred twelve trillion, one hundred eleven billion, two hundred twenty-two million, eleven thousand, one hundred".