101010002010003 has 48 divisors (see below), whose sum is σ = 151425173652480. Its totient is φ = 64815392980800.

The previous prime is 101010002009993. The next prime is 101010002010013. The reversal of 101010002010003 is 300010200010101.

It is an interprime number because it is at equal distance from previous prime (101010002009993) and next prime (101010002010013).

It is not a de Polignac number, because 101010002010003 - 2⁸ = 101010002009747 is a prime.

It is a super-2 number, since 2×101010002010003² (a number of 29 digits) contains 22 as substring.

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 (101010002010013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87316788 + ... + 88466046.

It is an arithmetic number, because the mean of its divisors is an integer number (3154691117760).

Almost surely, 2^{101010002010003} is an apocalyptic number.

101010002010003 is a deficient number, since it is larger than the sum of its proper divisors (50415171642477).

101010002010003 is a wasteful number, since it uses less digits than its factorization.

101010002010003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151000 (or 1150997 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 101010002010003 its reverse (300010200010101), we get a palindrome (401020202020104).

The spelling of 101010002010003 in words is "one hundred one trillion, ten billion, two million, ten thousand, three".