221020021202000 has 80 divisors (see below), whose sum is σ = 534467429730000. Its totient is φ = 88401222963200.

The previous prime is 221020021201919. The next prime is 221020021202003. The reversal of 221020021202000 is 202120020122.

It can be written as a sum of positive squares in 8 ways, for example, as 42489590707216 + 178530430494784 = 6518404^2 + 13361528^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221020021202003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21863576 + ... + 30332424.

It is an arithmetic number, because the mean of its divisors is an integer number (6680842871625).

Almost surely, 2^{221020021202000} is an apocalyptic number.

221020021202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221020021202000 is an abundant number, since it is smaller than the sum of its proper divisors (313447408528000).

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

221020021202000 is a wasteful number, since it uses less digits than its factorization.

221020021202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8481921 (or 8481905 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 221020021202000 its reverse (202120020122), we get a palindrome (221222141222122).

The spelling of 221020021202000 in words is "two hundred twenty-one trillion, twenty billion, twenty-one million, two hundred two thousand".