221100111002112 has 320 divisors, whose sum is σ = 603947969856000. Its totient is φ = 71845839503360.

The previous prime is 221100111002083. The next prime is 221100111002119. The reversal of 221100111002112 is 211200111001122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221100111002091 and 221100111002100.

It is not an unprimeable number, because it can be changed into a prime (221100111002119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19144518514 + ... + 19144530062.

It is an arithmetic number, because the mean of its divisors is an integer number (1887337405800).

Almost surely, 2^{221100111002112} 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 221100111002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301973984928000).

221100111002112 is an abundant number, since it is smaller than the sum of its proper divisors (382847858853888).

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

221100111002112 is a wasteful number, since it uses less digits than its factorization.

221100111002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12647 (or 12631 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 221100111002112 its reverse (211200111001122), we get a palindrome (432300222003234).

The spelling of 221100111002112 in words is "two hundred twenty-one trillion, one hundred billion, one hundred eleven million, two thousand, one hundred twelve".