10010021000 has 128 divisors (see below), whose sum is σ = 26852117760. Its totient is φ = 3421440000.

The previous prime is 10010020997. The next prime is 10010021003. The reversal of 10010021000 is 12001001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10010020997) and next prime (10010021003).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (10010021003) 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 31 ways as a sum of consecutive naturals, for example, 2468975 + ... + 2473025.

It is an arithmetic number, because the mean of its divisors is an integer number (209782170).

Almost surely, 2^10010021000 is an apocalyptic number.

10010021000 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 10010021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13426058880).

10010021000 is an abundant number, since it is smaller than the sum of its proper divisors (16842096760).

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

10010021000 is a wasteful number, since it uses less digits than its factorization.

10010021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4432 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10010021000 its reverse (12001001), we get a palindrome (10022022001).

The spelling of 10010021000 in words is "ten billion, ten million, twenty-one thousand".