10111411101 has 24 divisors (see below), whose sum is σ = 14839373920. Its totient is φ = 6119673120.

The previous prime is 10111411069. The next prime is 10111411159.

10111411101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10111411101 - 2⁵ = 10111411069 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 (10111418101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249411 + ... + 287103.

Almost surely, 2^10111411101 is an apocalyptic number.

10111411101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111411101 is a deficient number, since it is larger than the sum of its proper divisors (4727962819).

10111411101 is a wasteful number, since it uses less digits than its factorization.

10111411101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38457 (or 38446 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

The spelling of 10111411101 in words is "ten billion, one hundred eleven million, four hundred eleven thousand, one hundred one".