101111110101103 has 2 divisors, whose sum is σ = 101111110101104. Its totient is φ = 101111110101102.

The previous prime is 101111110101037. The next prime is 101111110101137. The reversal of 101111110101103 is 301101011111101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101111110101103 - 2³³ = 101102520166511 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111110107103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555555050551 + 50555555050552.

It is an arithmetic number, because the mean of its divisors is an integer number (50555555050552).

Almost surely, 2^{101111110101103} is an apocalyptic number.

101111110101103 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111110101103 is an equidigital number, since it uses as much as digits as its factorization.

101111110101103 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 13.

Adding to 101111110101103 its reverse (301101011111101), we get a palindrome (402212121212204).

The spelling of 101111110101103 in words is "one hundred one trillion, one hundred eleven billion, one hundred ten million, one hundred one thousand, one hundred three".