101100010000003 has 16 divisors (see below), whose sum is σ = 116333044358400. Its totient is φ = 86064666793056.

The previous prime is 101100009999997. The next prime is 101100010000061. The reversal of 101100010000003 is 300000010001101.

It is a happy number.

It is not a de Polignac number, because 101100010000003 - 2⁹ = 101100009999491 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 (101100010000303) 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, 2117500 + ... + 14376502.

It is an arithmetic number, because the mean of its divisors is an integer number (7270815272400).

Almost surely, 2^{101100010000003} is an apocalyptic number.

101100010000003 is a deficient number, since it is larger than the sum of its proper divisors (15233034358397).

101100010000003 is a wasteful number, since it uses less digits than its factorization.

101100010000003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12267066.

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

Adding to 101100010000003 its reverse (300000010001101), we get a palindrome (401100020001104).

The spelling of 101100010000003 in words is "one hundred one trillion, one hundred billion, ten million, three", and thus it is an aban number.