14001101102129 has 2 divisors, whose sum is σ = 14001101102130. Its totient is φ = 14001101102128.

The previous prime is 14001101102111. The next prime is 14001101102137. The reversal of 14001101102129 is 92120110110041.

14001101102129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10843453843600 + 3157647258529 = 3292940^2 + 1776977^2 .

It is a cyclic number.

It is not a de Polignac number, because 14001101102129 - 2⁸ = 14001101101873 is a prime.

It is not a weakly prime, because it can be changed into another prime (14001101102179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7000550551064 + 7000550551065.

It is an arithmetic number, because the mean of its divisors is an integer number (7000550551065).

Almost surely, 2^{14001101102129} is an apocalyptic number.

It is an amenable number.

14001101102129 is a deficient number, since it is larger than the sum of its proper divisors (1).

14001101102129 is an equidigital number, since it uses as much as digits as its factorization.

14001101102129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 14001101102129 in words is "fourteen trillion, one billion, one hundred one million, one hundred two thousand, one hundred twenty-nine".