10002021012 has 72 divisors (see below), whose sum is σ = 25940601960. Its totient is φ = 3247534080.

The previous prime is 10002020957. The next prime is 10002021013. The reversal of 10002021012 is 21012020001.

It can be written as a sum of positive squares in 4 ways, for example, as 112911876 + 9889109136 = 10626^2 + 99444^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10002020985 and 10002021003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002021013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 988314 + ... + 998382.

Almost surely, 2^10002021012 is an apocalyptic number.

10002021012 is a gapful number since it is divisible by the number (12) 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 10002021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12970300980).

10002021012 is an abundant number, since it is smaller than the sum of its proper divisors (15938580948).

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

10002021012 is a wasteful number, since it uses less digits than its factorization.

10002021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10793 (or 10788 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10002021012 its reverse (21012020001), we get a palindrome (31014041013).

The spelling of 10002021012 in words is "ten billion, two million, twenty-one thousand, twelve".