101003022003 has 16 divisors (see below), whose sum is σ = 145041178016. Its totient is φ = 62150906880.

The previous prime is 101003021963. The next prime is 101003022007. The reversal of 101003022003 is 300220300101.

It is a happy number.

It is not a de Polignac number, because 101003022003 - 2⁶ = 101003021939 is a prime.

It is a super-3 number, since 3×101003022003³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101003022003.

It is not an unprimeable number, because it can be changed into a prime (101003022007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449901 + ... + 635937.

It is an arithmetic number, because the mean of its divisors is an integer number (9065073626).

Almost surely, 2^101003022003 is an apocalyptic number.

101003022003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101003022003 is a deficient number, since it is larger than the sum of its proper divisors (44038156013).

101003022003 is a wasteful number, since it uses less digits than its factorization.

101003022003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199974.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 101003022003 its reverse (300220300101), we get a palindrome (401223322104).

The spelling of 101003022003 in words is "one hundred one billion, three million, twenty-two thousand, three".