101001000100003 has 4 divisors (see below), whose sum is σ = 101004611562880. Its totient is φ = 100997388637128.

The previous prime is 101001000099997. The next prime is 101001000100019. The reversal of 101001000100003 is 300001000100101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 101001000100003 - 2¹³ = 101001000091811 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101001000100093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1805689488 + ... + 1805745421.

It is an arithmetic number, because the mean of its divisors is an integer number (25251152890720).

Almost surely, 2^{101001000100003} is an apocalyptic number.

101001000100003 is a deficient number, since it is larger than the sum of its proper divisors (3611462877).

101001000100003 is an equidigital number, since it uses as much as digits as its factorization.

101001000100003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3611462876.

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

Adding to 101001000100003 its reverse (300001000100101), we get a palindrome (401002000200104).

The spelling of 101001000100003 in words is "one hundred one trillion, one billion, one hundred thousand, three".