101022003 has 24 divisors (see below), whose sum is σ = 153404160. Its totient is φ = 63938160.

The previous prime is 101021981. The next prime is 101022059. The reversal of 101022003 is 300220101.

It is a happy number.

It is not a de Polignac number, because 101022003 - 2¹² = 101017907 is a prime.

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 (101022083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27018 + ... + 30528.

It is an arithmetic number, because the mean of its divisors is an integer number (6391840).

Almost surely, 2^101022003 is an apocalyptic number.

101022003 is a deficient number, since it is larger than the sum of its proper divisors (52382157).

101022003 is a wasteful number, since it uses less digits than its factorization.

101022003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679 (or 3676 counting only the distinct ones).

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

The square root of 101022003 is about 10050.9702516722. The cubic root of 101022003 is about 465.7347662062.

Adding to 101022003 its reverse (300220101), we get a palindrome (401242104).

The spelling of 101022003 in words is "one hundred one million, twenty-two thousand, three".