101100100003 has 24 divisors (see below), whose sum is σ = 119644691760. Its totient is φ = 85156323840.

The previous prime is 101100099959. The next prime is 101100100027. The reversal of 101100100003 is 300001001101.

It is a happy number.

It is not a de Polignac number, because 101100100003 - 2¹³ = 101100091811 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101100100093) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10613883 + ... + 10623403.

It is an arithmetic number, because the mean of its divisors is an integer number (4985195490).

Almost surely, 2^101100100003 is an apocalyptic number.

101100100003 is a deficient number, since it is larger than the sum of its proper divisors (18544591757).

101100100003 is an equidigital number, since it uses as much as digits as its factorization.

101100100003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13267 (or 13260 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 101100100003 its reverse (300001001101), we get a palindrome (401101101104).

The spelling of 101100100003 in words is "one hundred one billion, one hundred million, one hundred thousand, three".