10100111011103 has 2 divisors, whose sum is σ = 10100111011104. Its totient is φ = 10100111011102.

The previous prime is 10100111011097. The next prime is 10100111011117. The reversal of 10100111011103 is 30111011100101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10100111011103 - 2¹⁴ = 10100110994719 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100111011153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050055505551 + 5050055505552.

It is an arithmetic number, because the mean of its divisors is an integer number (5050055505552).

Almost surely, 2^{10100111011103} is an apocalyptic number.

10100111011103 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100111011103 is an equidigital number, since it uses as much as digits as its factorization.

10100111011103 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 10100111011103 its reverse (30111011100101), we get a palindrome (40211122111204).

The spelling of 10100111011103 in words is "ten trillion, one hundred billion, one hundred eleven million, eleven thousand, one hundred three".