1020221203600 has 45 divisors (see below), whose sum is σ = 2451129975993. Its totient is φ = 408080400960.

The previous prime is 1020221203577. The next prime is 1020221203627. The reversal of 1020221203600 is 63021220201.

The square root of 1020221203600 is 1010060.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 367279633296 + 652941570304 = 606036^2 + 808048^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20175949 + ... + 20226451.

Almost surely, 2^{1020221203600} is an apocalyptic number.

1020221203600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020221203600 is the 1010060-th square number.

It is an amenable number.

1020221203600 is an abundant number, since it is smaller than the sum of its proper divisors (1430908772393).

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

1020221203600 is an frugal number, since it uses more digits than its factorization.

1020221203600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101024 (or 50510 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1020221203600 its reverse (63021220201), we get a palindrome (1083242423801).

The spelling of 1020221203600 in words is "one trillion, twenty billion, two hundred twenty-one million, two hundred three thousand, six hundred".