14101000100111 has 8 divisors (see below), whose sum is σ = 14106570290784. Its totient is φ = 14095430496000.

The previous prime is 14101000100107. The next prime is 14101000100167. The reversal of 14101000100111 is 11100100010141.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 14101000100111 - 2² = 14101000100107 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14101000100092 and 14101000100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14101000100191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51501671 + ... + 51774743.

It is an arithmetic number, because the mean of its divisors is an integer number (1763321286348).

Almost surely, 2^{14101000100111} is an apocalyptic number.

14101000100111 is a deficient number, since it is larger than the sum of its proper divisors (5570190673).

14101000100111 is a wasteful number, since it uses less digits than its factorization.

14101000100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293281.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 14101000100111 its reverse (11100100010141), we get a palindrome (25201100110252).

The spelling of 14101000100111 in words is "fourteen trillion, one hundred one billion, one hundred thousand, one hundred eleven".