4101112111014 has 24 divisors (see below), whose sum is σ = 9272079556272. Its totient is φ = 1307600962800.

The previous prime is 4101112111001. The next prime is 4101112111111.

It is a happy number.

4101112111014 is a `hidden beast` number, since 410 + 11 + 121 + 110 + 14 = 666.

4101112111014 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4953033537 + ... + 4953034364.

It is an arithmetic number, because the mean of its divisors is an integer number (386336648178).

Almost surely, 2^{4101112111014} is an apocalyptic number.

4101112111014 is an abundant number, since it is smaller than the sum of its proper divisors (5170967445258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4101112111014 is a wasteful number, since it uses less digits than its factorization.

4101112111014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9906067932 (or 9906067929 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

The spelling of 4101112111014 in words is "four trillion, one hundred one billion, one hundred twelve million, one hundred eleven thousand, fourteen".