10002022002 has 96 divisors (see below), whose sum is σ = 25333776000. Its totient is φ = 2850779232.

The previous prime is 10002021973. The next prime is 10002022007. The reversal of 10002022002 is 20022020001.

10002022002 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 (9).

It is not an unprimeable number, because it can be changed into a prime (10002022007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2881524 + ... + 2884992.

It is an arithmetic number, because the mean of its divisors is an integer number (263893500).

Almost surely, 2^10002022002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002022002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12666888000).

10002022002 is an abundant number, since it is smaller than the sum of its proper divisors (15331753998).

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

10002022002 is a wasteful number, since it uses less digits than its factorization.

10002022002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3965 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 10002022002 its reverse (20022020001), we get a palindrome (30024042003).

The spelling of 10002022002 in words is "ten billion, two million, twenty-two thousand, two".