10111444411101 has 24 divisors (see below), whose sum is σ = 14854617138912. Its totient is φ = 6067473192000.

The previous prime is 10111444411093. The next prime is 10111444411141.

10111444411101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10111444411101 - 2³ = 10111444411093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111444411141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14681866 + ... + 15355131.

It is an arithmetic number, because the mean of its divisors is an integer number (618942380788).

Almost surely, 2^{10111444411101} is an apocalyptic number.

10111444411101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111444411101 is a deficient number, since it is larger than the sum of its proper divisors (4743172727811).

10111444411101 is a wasteful number, since it uses less digits than its factorization.

10111444411101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30037213 (or 30037112 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 24.

It can be divided in two parts, 1011144 and 4411101, that added together give a palindrome (5422245).

The spelling of 10111444411101 in words is "ten trillion, one hundred eleven billion, four hundred forty-four million, four hundred eleven thousand, one hundred one".