212221021220001 has 64 divisors (see below), whose sum is σ = 319246147584000. Its totient is φ = 139317089054400.

The previous prime is 212221021219967. The next prime is 212221021220009. The reversal of 212221021220001 is 100022120122212.

It is a happy number.

212221021220001 is a `hidden beast` number, since 21 + 22 + 210 + 212 + 200 + 0 + 1 = 666.

It is not a de Polignac number, because 212221021220001 - 2¹⁷ = 212221021088929 is a prime.

It is a super-2 number, since 2×212221021220001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212221021220009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 631669780 + ... + 632005658.

It is an arithmetic number, because the mean of its divisors is an integer number (4988221056000).

Almost surely, 2^{212221021220001} is an apocalyptic number.

It is an amenable number.

212221021220001 is a deficient number, since it is larger than the sum of its proper divisors (107025126363999).

212221021220001 is a wasteful number, since it uses less digits than its factorization.

212221021220001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337251 (or 337245 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212221021220001 its reverse (100022120122212), we get a palindrome (312243141342213).

The spelling of 212221021220001 in words is "two hundred twelve trillion, two hundred twenty-one billion, twenty-one million, two hundred twenty thousand, one".