221221020011300 has 72 divisors (see below), whose sum is σ = 480517285300416. Its totient is φ = 88402214482560.

The previous prime is 221221020011297. The next prime is 221221020011333. The reversal of 221221020011300 is 3110020122122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1456791977 + ... + 1456943823.

It is an arithmetic number, because the mean of its divisors is an integer number (6673851184728).

Almost surely, 2^{221221020011300} is an apocalyptic number.

221221020011300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221221020011300 is an abundant number, since it is smaller than the sum of its proper divisors (259296265289116).

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

221221020011300 is a wasteful number, since it uses less digits than its factorization.

221221020011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165957 (or 165950 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 221221020011300 its reverse (3110020122122), we get a palindrome (224331040133422).

The spelling of 221221020011300 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, twenty million, eleven thousand, three hundred".