221012002020 has 96 divisors (see below), whose sum is σ = 638998778880. Its totient is φ = 57017249280.

The previous prime is 221012001967. The next prime is 221012002021. The reversal of 221012002020 is 20200210122.

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 = 221012001987 and 221012002005.

It is not an unprimeable number, because it can be changed into a prime (221012002021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6435214 + ... + 6469466.

It is an arithmetic number, because the mean of its divisors is an integer number (6656237280).

Almost surely, 2^221012002020 is an apocalyptic number.

221012002020 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 221012002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319499389440).

221012002020 is an abundant number, since it is smaller than the sum of its proper divisors (417986776860).

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

221012002020 is a wasteful number, since it uses less digits than its factorization.

221012002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37765 (or 37763 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 221012002020 its reverse (20200210122), we get a palindrome (241212212142).

The spelling of 221012002020 in words is "two hundred twenty-one billion, twelve million, two thousand, twenty".