1002021020 has 96 divisors (see below), whose sum is σ = 2825335296. Its totient is φ = 288288000.

The previous prime is 1002021001. The next prime is 1002021037. The reversal of 1002021020 is 201202001.

It is a super-2 number, since 2×1002021020² = 2008092249043680800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002020989 and 1002021007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5006 + ... + 45045.

It is an arithmetic number, because the mean of its divisors is an integer number (29430576).

Almost surely, 2^1002021020 is an apocalyptic number.

1002021020 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 1002021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412667648).

1002021020 is an abundant number, since it is smaller than the sum of its proper divisors (1823314276).

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

1002021020 is a wasteful number, since it uses less digits than its factorization.

1002021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50091 (or 50089 counting only the distinct ones).

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

The square root of 1002021020 is about 31654.7156044720. The cubic root of 1002021020 is about 1000.6732200064.

Adding to 1002021020 its reverse (201202001), we get a palindrome (1203223021).

The spelling of 1002021020 in words is "one billion, two million, twenty-one thousand, twenty".