10022001000 has 256 divisors, whose sum is σ = 34531660800. Its totient is φ = 2399648000.

The previous prime is 10022000999. The next prime is 10022001029. The reversal of 10022001000 is 10022001.

It is a happy number.

10022001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 10022001000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2737171 + ... + 2740829.

It is an arithmetic number, because the mean of its divisors is an integer number (134889300).

Almost surely, 2^10022001000 is an apocalyptic number.

10022001000 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 10022001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17265830400).

10022001000 is an abundant number, since it is smaller than the sum of its proper divisors (24509659800).

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

10022001000 is a wasteful number, since it uses less digits than its factorization.

10022001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3777 (or 3763 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10022001000 its reverse (10022001), we get a palindrome (10032023001).

10022001000 divided by its reverse (10022001) gives a cube (1000 = 10³).

It can be divided in two parts, 1002 and 2001000, that added together give a palindrome (2002002).

The spelling of 10022001000 in words is "ten billion, twenty-two million, one thousand".