14121114101 has 24 divisors (see below), whose sum is σ = 14927462784. Its totient is φ = 13354671680.

The previous prime is 14121114061. The next prime is 14121114131. The reversal of 14121114101 is 10141112141.

It is not a de Polignac number, because 14121114101 - 2⁶ = 14121114037 is a prime.

It is a super-2 number, since 2×14121114101² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14121114101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14121114131) 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, 10329320 + ... + 10330686.

It is an arithmetic number, because the mean of its divisors is an integer number (621977616).

Almost surely, 2^14121114101 is an apocalyptic number.

It is an amenable number.

14121114101 is a deficient number, since it is larger than the sum of its proper divisors (806348683).

14121114101 is a wasteful number, since it uses less digits than its factorization.

14121114101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 14121114101 its reverse (10141112141), we get a palindrome (24262226242).

The spelling of 14121114101 in words is "fourteen billion, one hundred twenty-one million, one hundred fourteen thousand, one hundred one".