1003002021000 has 480 divisors, whose sum is σ = 4078481635800. Its totient is φ = 229256697600.

The previous prime is 1003002020971. The next prime is 1003002021019. The reversal of 1003002021000 is 1202003001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 222185905956 + 780816115044 = 471366^2 + 883638^2 .

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3842646 + ... + 4095354.

Almost surely, 2^{1003002021000} is an apocalyptic number.

1003002021000 is a gapful number since it is divisible by the number (10) 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 1003002021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039240817900).

1003002021000 is an abundant number, since it is smaller than the sum of its proper divisors (3075479614800).

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

1003002021000 is a wasteful number, since it uses less digits than its factorization.

1003002021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252756 (or 252726 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 1003002021000 its reverse (1202003001), we get a palindrome (1004204024001).

The spelling of 1003002021000 in words is "one trillion, three billion, two million, twenty-one thousand".