101001101011103 has 16 divisors (see below), whose sum is σ = 106435311897600. Its totient is φ = 95578751576160.

The previous prime is 101001101011093. The next prime is 101001101011147. The reversal of 101001101011103 is 301110101100101.

It is a cyclic number.

It is not a de Polignac number, because 101001101011103 - 2¹⁴ = 101001100994719 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001101011703) 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 in 15 ways as a sum of consecutive naturals, for example, 146292650 + ... + 146981432.

It is an arithmetic number, because the mean of its divisors is an integer number (6652206993600).

Almost surely, 2^{101001101011103} is an apocalyptic number.

101001101011103 is a deficient number, since it is larger than the sum of its proper divisors (5434210886497).

101001101011103 is a wasteful number, since it uses less digits than its factorization.

101001101011103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697382.

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

Adding to 101001101011103 its reverse (301110101100101), we get a palindrome (402111202111204).

The spelling of 101001101011103 in words is "one hundred one trillion, one billion, one hundred one million, eleven thousand, one hundred three".