2001011020 has 48 divisors (see below), whose sum is σ = 4448172960. Its totient is φ = 754822656.

The previous prime is 2001011003. The next prime is 2001011029. The reversal of 2001011020 is 201101002.

It is a super-2 number, since 2×2001011020² = 8008090204322880800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2001010994 and 2001011012.

It is not an unprimeable number, because it can be changed into a prime (2001011029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15177 + ... + 65056.

It is an arithmetic number, because the mean of its divisors is an integer number (92670270).

Almost surely, 2^2001011020 is an apocalyptic number.

2001011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001011020 is an abundant number, since it is smaller than the sum of its proper divisors (2447161940).

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

2001011020 is a wasteful number, since it uses less digits than its factorization.

2001011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80314 (or 80312 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2001011020 is about 44732.6616690758. The cubic root of 2001011020 is about 1260.1333150282.

Adding to 2001011020 its reverse (201101002), we get a palindrome (2202112022).

The spelling of 2001011020 in words is "two billion, one million, eleven thousand, twenty".