221111002112 has 352 divisors, whose sum is σ = 628421794560. Its totient is φ = 74836869120.

The previous prime is 221111002081. The next prime is 221111002121. The reversal of 221111002112 is 211200111122.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17419064 + ... + 17431752.

Almost surely, 2^221111002112 is an apocalyptic number.

221111002112 is a gapful number since it is divisible by the number (22) 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 221111002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314210897280).

221111002112 is an abundant number, since it is smaller than the sum of its proper divisors (407310792448).

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

221111002112 is a wasteful number, since it uses less digits than its factorization.

221111002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12757 (or 12739 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 221111002112 its reverse (211200111122), we get a palindrome (432311113234).

The spelling of 221111002112 in words is "two hundred twenty-one billion, one hundred eleven million, two thousand, one hundred twelve".