1020221002000 has 40 divisors (see below), whose sum is σ = 2466894387672. Its totient is φ = 408088400000.

The previous prime is 1020221001997. The next prime is 1020221002007. The reversal of 1020221002000 is 2001220201.

It can be written as a sum of positive squares in 4 ways, for example, as 2680754176 + 1017540247824 = 51776^2 + 1008732^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1020221002007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255053251 + ... + 255057250.

Almost surely, 2^{1020221002000} is an apocalyptic number.

1020221002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020221002000 is an abundant number, since it is smaller than the sum of its proper divisors (1446673385672).

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

1020221002000 is an equidigital number, since it uses as much as digits as its factorization.

1020221002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510110524 (or 510110508 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1020221002000 its reverse (2001220201), we get a palindrome (1022222222201).

The spelling of 1020221002000 in words is "one trillion, twenty billion, two hundred twenty-one million, two thousand".