10100111001103 has 2 divisors, whose sum is σ = 10100111001104. Its totient is φ = 10100111001102.

The previous prime is 10100111001073. The next prime is 10100111001139. The reversal of 10100111001103 is 30110011100101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10100111001103 - 2³⁷ = 9962672047631 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100111001103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100111001143) 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, 5050055500551 + 5050055500552.

It is an arithmetic number, because the mean of its divisors is an integer number (5050055500552).

Almost surely, 2^{10100111001103} is an apocalyptic number.

10100111001103 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100111001103 is an equidigital number, since it uses as much as digits as its factorization.

10100111001103 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 10.

Adding to 10100111001103 its reverse (30110011100101), we get a palindrome (40210122101204).

The spelling of 10100111001103 in words is "ten trillion, one hundred billion, one hundred eleven million, one thousand, one hundred three".