1010001106003 has 2 divisors, whose sum is σ = 1010001106004. Its totient is φ = 1010001106002.

The previous prime is 1010001105977. The next prime is 1010001106007. The reversal of 1010001106003 is 3006011000101.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (3006011000101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1010001106003 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010001106007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505000553001 + 505000553002.

It is an arithmetic number, because the mean of its divisors is an integer number (505000553002).

Almost surely, 2^{1010001106003} is an apocalyptic number.

1010001106003 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010001106003 is an equidigital number, since it uses as much as digits as its factorization.

1010001106003 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1010001106003 its reverse (3006011000101), we get a palindrome (4016012106104).

The spelling of 1010001106003 in words is "one trillion, ten billion, one million, one hundred six thousand, three".