10021004000 has 192 divisors, whose sum is σ = 28252748160. Its totient is φ = 3421900800.

The previous prime is 10021003987. The next prime is 10021004011. The reversal of 10021004000 is 40012001.

It is a super-3 number, since 3×10021004000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8875436 + ... + 8876564.

It is an arithmetic number, because the mean of its divisors is an integer number (147149730).

Almost surely, 2^10021004000 is an apocalyptic number.

10021004000 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 10021004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14126374080).

10021004000 is an abundant number, since it is smaller than the sum of its proper divisors (18231744160).

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

10021004000 is a wasteful number, since it uses less digits than its factorization.

10021004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1460 counting only the distinct ones).

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

Adding to 10021004000 its reverse (40012001), we get a palindrome (10061016001).

The spelling of 10021004000 in words is "ten billion, twenty-one million, four thousand".