101001101100103 has 2 divisors, whose sum is σ = 101001101100104. Its totient is φ = 101001101100102.

The previous prime is 101001101100017. The next prime is 101001101100161. The reversal of 101001101100103 is 301001101100101.

It is a strong prime.

It is an emirp because it is prime and its reverse (301001101100101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101001101100103 - 2¹³ = 101001101091911 is a prime.

It is a super-2 number, since 2×101001101100103² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101001101100103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001101100173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500550550051 + 50500550550052.

It is an arithmetic number, because the mean of its divisors is an integer number (50500550550052).

Almost surely, 2^{101001101100103} is an apocalyptic number.

101001101100103 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001101100103 is an equidigital number, since it uses as much as digits as its factorization.

101001101100103 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 10.

Adding to 101001101100103 its reverse (301001101100101), we get a palindrome (402002202200204).

The spelling of 101001101100103 in words is "one hundred one trillion, one billion, one hundred one million, one hundred thousand, one hundred three".