221210101221012 has 36 divisors (see below), whose sum is σ = 559175925604660. Its totient is φ = 73735916118912.

The previous prime is 221210101220971. The next prime is 221210101221121. The reversal of 221210101221012 is 210122101012122.

221210101221012 is a `hidden beast` number, since 221 + 210 + 1 + 0 + 1 + 221 + 0 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 126102433857156 + 95107667363856 = 11229534^2 + 9752316^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29242087 + ... + 36021102.

Almost surely, 2^{221210101221012} is an apocalyptic number.

It is an amenable number.

221210101221012 is an abundant number, since it is smaller than the sum of its proper divisors (337965824383648).

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

221210101221012 is a wasteful number, since it uses less digits than its factorization.

221210101221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65357352 (or 65357347 counting only the distinct ones).

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

Adding to 221210101221012 its reverse (210122101012122), we get a palindrome (431332202233134).

The spelling of 221210101221012 in words is "two hundred twenty-one trillion, two hundred ten billion, one hundred one million, two hundred twenty-one thousand, twelve".