221100112112112 has 240 divisors, whose sum is σ = 632085113874240. Its totient is φ = 72131710464000.

The previous prime is 221100112112027. The next prime is 221100112112137. The reversal of 221100112112112 is 211211211001122.

It is a happy number.

221100112112112 is a `hidden beast` number, since 221 + 10 + 0 + 11 + 211 + 211 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 5515486533 + ... + 5515526619.

It is an arithmetic number, because the mean of its divisors is an integer number (2633687974476).

Almost surely, 2^{221100112112112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221100112112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316042556937120).

221100112112112 is an abundant number, since it is smaller than the sum of its proper divisors (410985001762128).

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

221100112112112 is a wasteful number, since it uses less digits than its factorization.

221100112112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44552 (or 44543 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 221100112112112 its reverse (211211211001122), we get a palindrome (432311323113234).

The spelling of 221100112112112 in words is "two hundred twenty-one trillion, one hundred billion, one hundred twelve million, one hundred twelve thousand, one hundred twelve".