100101001000003 has 2 divisors, whose sum is σ = 100101001000004. Its totient is φ = 100101001000002.

The previous prime is 100101000999943. The next prime is 100101001000027. The reversal of 100101001000003 is 300000100101001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100101001000003 - 2³³ = 100092411065411 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100101001000003.

It is not a weakly prime, because it can be changed into another prime (100101001000073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050500500001 + 50050500500002.

It is an arithmetic number, because the mean of its divisors is an integer number (50050500500002).

Almost surely, 2^{100101001000003} is an apocalyptic number.

100101001000003 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101001000003 is an equidigital number, since it uses as much as digits as its factorization.

100101001000003 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100101001000003 its reverse (300000100101001), we get a palindrome (400101101101004).

The spelling of 100101001000003 in words is "one hundred trillion, one hundred one billion, one million, three", and thus it is an aban number.