10011012002020 has 24 divisors (see below), whose sum is σ = 21023188208568. Its totient is φ = 4004392800000.

The previous prime is 10011012001897. The next prime is 10011012002021. The reversal of 10011012002020 is 2020021011001.

It can be written as a sum of positive squares in 4 ways, for example, as 334632168676 + 9676379833344 = 578474^2 + 3110688^2 .

It is a super-3 number, since 3×10011012002020³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10011012001988 and 10011012002006.

It is not an unprimeable number, because it can be changed into a prime (10011012002021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9520470 + ... + 10519570.

It is an arithmetic number, because the mean of its divisors is an integer number (875966175357).

Almost surely, 2^{10011012002020} is an apocalyptic number.

10011012002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011012002020 is an abundant number, since it is smaller than the sum of its proper divisors (11012176206548).

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

10011012002020 is a wasteful number, since it uses less digits than its factorization.

10011012002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500111 (or 1500109 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10011012002020 its reverse (2020021011001), we get a palindrome (12031033013021).

The spelling of 10011012002020 in words is "ten trillion, eleven billion, twelve million, two thousand, twenty".