221021122011012 has 72 divisors (see below), whose sum is σ = 594011124258552. Its totient is φ = 69052242124800.

The previous prime is 221021122010993. The next prime is 221021122011073. The reversal of 221021122011012 is 210110221120122.

221021122011012 is a `hidden beast` number, since 2 + 210 + 211 + 220 + 1 + 10 + 12 = 666.

221021122011012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 80927764112196 + 140093357898816 = 8995986^2 + 11836104^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 749117289 + ... + 749412272.

It is an arithmetic number, because the mean of its divisors is an integer number (8250154503591).

Almost surely, 2^{221021122011012} is an apocalyptic number.

It is an amenable number.

221021122011012 is an abundant number, since it is smaller than the sum of its proper divisors (372990002247540).

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

221021122011012 is a wasteful number, since it uses less digits than its factorization.

221021122011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498529829 (or 1498529824 counting only the distinct ones).

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

Adding to 221021122011012 its reverse (210110221120122), we get a palindrome (431131343131134).

The spelling of 221021122011012 in words is "two hundred twenty-one trillion, twenty-one billion, one hundred twenty-two million, eleven thousand, twelve".