101011323102003 has 32 divisors (see below), whose sum is σ = 151328570764800. Its totient is φ = 66585891522528.

The previous prime is 101011323101959. The next prime is 101011323102023. The reversal of 101011323102003 is 300201323110101.

101011323102003 is a `hidden beast` number, since 10 + 10 + 1 + 132 + 310 + 200 + 3 = 666.

It is not a de Polignac number, because 101011323102003 - 2¹⁴ = 101011323085619 is a prime.

It is a super-2 number, since 2×101011323102003² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101011323102023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25725700 + ... + 29391057.

It is an arithmetic number, because the mean of its divisors is an integer number (4729017836400).

Almost surely, 2^{101011323102003} is an apocalyptic number.

101011323102003 is a deficient number, since it is larger than the sum of its proper divisors (50317247662797).

101011323102003 is a wasteful number, since it uses less digits than its factorization.

101011323102003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55117528 (or 55117522 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101011323102003 its reverse (300201323110101), we get a palindrome (401212646212104).

The spelling of 101011323102003 in words is "one hundred one trillion, eleven billion, three hundred twenty-three million, one hundred two thousand, three".