100001102111003 has 2 divisors, whose sum is σ = 100001102111004. Its totient is φ = 100001102111002.

The previous prime is 100001102110993. The next prime is 100001102111081. The reversal of 100001102111003 is 300111201100001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100001102111003 - 2¹² = 100001102106907 is a prime.

It is not a weakly prime, because it can be changed into another prime (100001102111903) 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 as a sum of consecutive naturals, namely, 50000551055501 + 50000551055502.

It is an arithmetic number, because the mean of its divisors is an integer number (50000551055502).

Almost surely, 2^{100001102111003} is an apocalyptic number.

100001102111003 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001102111003 is an equidigital number, since it uses as much as digits as its factorization.

100001102111003 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 100001102111003 its reverse (300111201100001), we get a palindrome (400112303211004).

The spelling of 100001102111003 in words is "one hundred trillion, one billion, one hundred two million, one hundred eleven thousand, three".