100105111101103 has 2 divisors, whose sum is σ = 100105111101104. Its totient is φ = 100105111101102.

The previous prime is 100105111101041. The next prime is 100105111101133. The reversal of 100105111101103 is 301101111501001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100105111101103 - 2²⁵ = 100105077546671 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100105111101133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052555550551 + 50052555550552.

It is an arithmetic number, because the mean of its divisors is an integer number (50052555550552).

Almost surely, 2^{100105111101103} is an apocalyptic number.

100105111101103 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105111101103 is an equidigital number, since it uses as much as digits as its factorization.

100105111101103 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15, while the sum is 16.

Adding to 100105111101103 its reverse (301101111501001), we get a palindrome (401206222602104).

The spelling of 100105111101103 in words is "one hundred trillion, one hundred five billion, one hundred eleven million, one hundred one thousand, one hundred three".