221100001012020 has 192 divisors, whose sum is σ = 670459996120320. Its totient is φ = 54117833797632.

The previous prime is 221100001011979. The next prime is 221100001012027. The reversal of 221100001012020 is 20210100001122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 221100001011987 and 221100001012005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221100001012027) 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, 5025320662 + ... + 5025364658.

It is an arithmetic number, because the mean of its divisors is an integer number (3491979146460).

Almost surely, 2^{221100001012020} is an apocalyptic number.

221100001012020 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 221100001012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335229998060160).

221100001012020 is an abundant number, since it is smaller than the sum of its proper divisors (449359995108300).

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

221100001012020 is a wasteful number, since it uses less digits than its factorization.

221100001012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80194 (or 80192 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221100001012020 its reverse (20210100001122), we get a palindrome (241310101013142).

The spelling of 221100001012020 in words is "two hundred twenty-one trillion, one hundred billion, one million, twelve thousand, twenty".