221020221012201 has 128 divisors (see below), whose sum is σ = 355329912430080. Its totient is φ = 134973941760000.

The previous prime is 221020221012197. The next prime is 221020221012209. The reversal of 221020221012201 is 102210122020122.

It is a happy number.

221020221012201 is a `hidden beast` number, since 2 + 210 + 20 + 2 + 210 + 1 + 220 + 1 = 666.

It is not a de Polignac number, because 221020221012201 - 2² = 221020221012197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221020221012209) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31319285265 + ... + 31319292321.

It is an arithmetic number, because the mean of its divisors is an integer number (2776014940860).

Almost surely, 2^{221020221012201} is an apocalyptic number.

It is an amenable number.

221020221012201 is a deficient number, since it is larger than the sum of its proper divisors (134309691417879).

221020221012201 is a wasteful number, since it uses less digits than its factorization.

221020221012201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8584 (or 8578 counting only the distinct ones).

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

Adding to 221020221012201 its reverse (102210122020122), we get a palindrome (323230343032323).

The spelling of 221020221012201 in words is "two hundred twenty-one trillion, twenty billion, two hundred twenty-one million, twelve thousand, two hundred one".