10011012020 has 72 divisors (see below), whose sum is σ = 22542631776. Its totient is φ = 3733398016.

The previous prime is 10011012017. The next prime is 10011012059. The reversal of 10011012020 is 2021011001.

It is a junction number, because it is equal to n+sod(n) for n = 10011011989 and 10011012007.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 610367 + ... + 626553.

It is an arithmetic number, because the mean of its divisors is an integer number (313092108).

Almost surely, 2^10011012020 is an apocalyptic number.

10011012020 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 10011012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11271315888).

10011012020 is an abundant number, since it is smaller than the sum of its proper divisors (12531619756).

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

10011012020 is a wasteful number, since it uses less digits than its factorization.

10011012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16337 (or 16318 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10011012020 its reverse (2021011001), we get a palindrome (12032023021).

The spelling of 10011012020 in words is "ten billion, eleven million, twelve thousand, twenty".