112100221100 has 144 divisors (see below), whose sum is σ = 279761594112. Its totient is φ = 38192912640.

The previous prime is 112100221099. The next prime is 112100221127. The reversal of 112100221100 is 1122001211.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100357742 + ... + 100358858.

It is an arithmetic number, because the mean of its divisors is an integer number (1942788848).

Almost surely, 2^112100221100 is an apocalyptic number.

112100221100 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 112100221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139880797056).

112100221100 is an abundant number, since it is smaller than the sum of its proper divisors (167661373012).

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

112100221100 is a wasteful number, since it uses less digits than its factorization.

112100221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 112100221100 its reverse (1122001211), we get a palindrome (113222222311).

The spelling of 112100221100 in words is "one hundred twelve billion, one hundred million, two hundred twenty-one thousand, one hundred".