10021000 has 64 divisors (see below), whose sum is σ = 25608960. Its totient is φ = 3640000.

The previous prime is 10020977. The next prime is 10021001. The reversal of 10021000 is 12001.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (10021001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10545 + ... + 11455.

It is an arithmetic number, because the mean of its divisors is an integer number (400140).

Almost surely, 2^10021000 is an apocalyptic number.

10021000 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 10021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12804480).

10021000 is an abundant number, since it is smaller than the sum of its proper divisors (15587960).

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

10021000 is a wasteful number, since it uses less digits than its factorization.

10021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 10021000 is about 3165.5963103340. The cubic root of 10021000 is about 215.5941739872.

Adding to 10021000 its reverse (12001), we get a palindrome (10033001).

It can be divided in two parts, 1002 and 1000, that added together give a palindrome (2002).

The spelling of 10021000 in words is "ten million, twenty-one thousand".