2014011132101 has 16 divisors (see below), whose sum is σ = 2062180512000. Its totient is φ = 1966069563648.

The previous prime is 2014011132013. The next prime is 2014011132109. The reversal of 2014011132101 is 1012311104102.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2014011132101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2014011132101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014011132109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30485561 + ... + 30551553.

It is an arithmetic number, because the mean of its divisors is an integer number (128886282000).

Almost surely, 2^{2014011132101} is an apocalyptic number.

It is an amenable number.

2014011132101 is a deficient number, since it is larger than the sum of its proper divisors (48169379899).

2014011132101 is a wasteful number, since it uses less digits than its factorization.

2014011132101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67708.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 2014011132101 its reverse (1012311104102), we get a palindrome (3026322236203).

The spelling of 2014011132101 in words is "two trillion, fourteen billion, eleven million, one hundred thirty-two thousand, one hundred one".