221001201210020 has 192 divisors, whose sum is σ = 579202626240000. Its totient is φ = 68814312652800.

The previous prime is 221001201210001. The next prime is 221001201210029. The reversal of 221001201210020 is 20012102100122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 221001201209977 and 221001201210004.

It is not an unprimeable number, because it can be changed into a prime (221001201210029) 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, 13458441410 + ... + 13458457830.

It is an arithmetic number, because the mean of its divisors is an integer number (3016680345000).

Almost surely, 2^{221001201210020} is an apocalyptic number.

221001201210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221001201210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289601313120000).

221001201210020 is an abundant number, since it is smaller than the sum of its proper divisors (358201425029980).

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

221001201210020 is a wasteful number, since it uses less digits than its factorization.

221001201210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24694 (or 24692 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221001201210020 its reverse (20012102100122), we get a palindrome (241013303310142).

The spelling of 221001201210020 in words is "two hundred twenty-one trillion, one billion, two hundred one million, two hundred ten thousand, twenty".