1002021020100 has 243 divisors, whose sum is σ = 3198959642151. Its totient is φ = 262344700800.

The previous prime is 1002021020081. The next prime is 1002021020111. The reversal of 1002021020100 is 10201202001.

The square root of 1002021020100 is 1001010.

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

It can be written as a sum of positive squares in 4 ways, for example, as 461549031876 + 540471988224 = 679374^2 + 735168^2 .

It is a super-2 number, since 2×1002021020100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1831848027 + ... + 1831848573.

Almost surely, 2^{1002021020100} is an apocalyptic number.

1002021020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002021020100 is the 1001010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002021020100

1002021020100 is an abundant number, since it is smaller than the sum of its proper divisors (2196938622051).

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

1002021020100 is an equidigital number, since it uses as much as digits as its factorization.

1002021020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1002021020100 its reverse (10201202001), we get a palindrome (1012222222101).

The spelling of 1002021020100 in words is "one trillion, two billion, twenty-one million, twenty thousand, one hundred".