10003001022 has 144 divisors (see below), whose sum is σ = 26738421840. Its totient is φ = 2687198976.

The previous prime is 10003001011. The next prime is 10003001039. The reversal of 10003001022 is 22010030001.

It is a happy number.

10003001022 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10003001022² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10003000995 and 10003001013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2293668 + ... + 2298024.

It is an arithmetic number, because the mean of its divisors is an integer number (185683485).

Almost surely, 2^10003001022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10003001022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13369210920).

10003001022 is an abundant number, since it is smaller than the sum of its proper divisors (16735420818).

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

10003001022 is a wasteful number, since it uses less digits than its factorization.

10003001022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4535 (or 4525 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10003001022 its reverse (22010030001), we get a palindrome (32013031023).

The spelling of 10003001022 in words is "ten billion, three million, one thousand, twenty-two".