221020142301 has 36 divisors (see below), whose sum is σ = 371414856384. Its totient is φ = 126283323600.

The previous prime is 221020142261. The next prime is 221020142303. The reversal of 221020142301 is 103241020122.

It is a happy number.

221020142301 is a `hidden beast` number, since 221 + 0 + 2 + 0 + 142 + 301 = 666.

It is not a de Polignac number, because 221020142301 - 2⁶ = 221020142237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221020142303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5036866 + ... + 5080556.

It is an arithmetic number, because the mean of its divisors is an integer number (10317079344).

Almost surely, 2^221020142301 is an apocalyptic number.

221020142301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221020142301 is a deficient number, since it is larger than the sum of its proper divisors (150394714083).

221020142301 is a wasteful number, since it uses less digits than its factorization.

221020142301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55182 (or 55172 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 221020142301 its reverse (103241020122), we get a palindrome (324261162423).

The spelling of 221020142301 in words is "two hundred twenty-one billion, twenty million, one hundred forty-two thousand, three hundred one".