221012042020 has 192 divisors, whose sum is σ = 586293313536. Its totient is φ = 67981086720.

The previous prime is 221012041997. The next prime is 221012042039. The reversal of 221012042020 is 20240210122.

It is a junction number, because it is equal to n+sod(n) for n = 221012041985 and 221012042003.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57210609 + ... + 57214471.

It is an arithmetic number, because the mean of its divisors is an integer number (3053611008).

Almost surely, 2^221012042020 is an apocalyptic number.

221012042020 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 221012042020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293146656768).

221012042020 is an abundant number, since it is smaller than the sum of its proper divisors (365281271516).

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

221012042020 is a wasteful number, since it uses less digits than its factorization.

221012042020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4370 (or 4368 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 221012042020 its reverse (20240210122), we get a palindrome (241252252142).

The spelling of 221012042020 in words is "two hundred twenty-one billion, twelve million, forty-two thousand, twenty".