221221110100212 has 144 divisors (see below), whose sum is σ = 590802124104192. Its totient is φ = 72363565058400.

The previous prime is 221221110100079. The next prime is 221221110100301. The reversal of 221221110100212 is 212001011122122.

221221110100212 is a `hidden beast` number, since 2 + 21 + 221 + 110 + 100 + 212 = 666.

221221110100212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×221221110100212³ (a number of 44 digits) contains 333 as substring.

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, 10669587 + ... + 23585637.

Almost surely, 2^{221221110100212} 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 221221110100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295401062052096).

221221110100212 is an abundant number, since it is smaller than the sum of its proper divisors (369581014003980).

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

221221110100212 is a wasteful number, since it uses less digits than its factorization.

221221110100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12916400 (or 12916386 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221221110100212 its reverse (212001011122122), we get a palindrome (433222121222334).

The spelling of 221221110100212 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, one hundred ten million, one hundred thousand, two hundred twelve".