1001241020 has 96 divisors (see below), whose sum is σ = 2331104832. Its totient is φ = 358944768.

The previous prime is 1001241001. The next prime is 1001241041. The reversal of 1001241020 is 201421001.

It is a junction number, because it is equal to n+sod(n) for n = 1001240992 and 1001241010.

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, 1556819 + ... + 1557461.

It is an arithmetic number, because the mean of its divisors is an integer number (24282342).

Almost surely, 2^1001241020 is an apocalyptic number.

1001241020 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 1001241020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165552416).

1001241020 is an abundant number, since it is smaller than the sum of its proper divisors (1329863812).

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

1001241020 is a wasteful number, since it uses less digits than its factorization.

1001241020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1001241020 is about 31642.3927666667. The cubic root of 1001241020 is about 1000.4135023256.

Adding to 1001241020 its reverse (201421001), we get a palindrome (1202662021).

The spelling of 1001241020 in words is "one billion, one million, two hundred forty-one thousand, twenty".