221021100010112 has 256 divisors, whose sum is σ = 482160484915200. Its totient is φ = 100634832076800.

The previous prime is 221021100010103. The next prime is 221021100010121. The reversal of 221021100010112 is 211010001120122.

It is an interprime number because it is at equal distance from previous prime (221021100010103) and next prime (221021100010121).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4637722988 + ... + 4637770644.

It is an arithmetic number, because the mean of its divisors is an integer number (1883439394200).

Almost surely, 2^{221021100010112} 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 221021100010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241080242457600).

221021100010112 is an abundant number, since it is smaller than the sum of its proper divisors (261139384905088).

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

221021100010112 is a wasteful number, since it uses less digits than its factorization.

221021100010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48755 (or 48743 counting only the distinct ones).

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

Adding to 221021100010112 its reverse (211010001120122), we get a palindrome (432031101130234).

The spelling of 221021100010112 in words is "two hundred twenty-one trillion, twenty-one billion, one hundred million, ten thousand, one hundred twelve".