101101000011103 has 2 divisors, whose sum is σ = 101101000011104. Its totient is φ = 101101000011102.

The previous prime is 101101000011061. The next prime is 101101000011149. The reversal of 101101000011103 is 301110000101101.

It is a weak prime.

It is an emirp because it is prime and its reverse (301110000101101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101101000011103 - 2²⁹ = 101100463140191 is a prime.

It is a super-2 number, since 2×101101000011103² (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 101101000011103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101001011103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550500005551 + 50550500005552.

It is an arithmetic number, because the mean of its divisors is an integer number (50550500005552).

Almost surely, 2^{101101000011103} is an apocalyptic number.

101101000011103 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101000011103 is an equidigital number, since it uses as much as digits as its factorization.

101101000011103 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 101101000011103 its reverse (301110000101101), we get a palindrome (402211000112204).

The spelling of 101101000011103 in words is "one hundred one trillion, one hundred one billion, eleven thousand, one hundred three".