14022100122041 has 32 divisors (see below), whose sum is σ = 15750608412672. Its totient is φ = 12372555600000.

The previous prime is 14022100122029. The next prime is 14022100122061.

14022100122041 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-14022100122041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14022100122061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84371696 + ... + 84537726.

It is an arithmetic number, because the mean of its divisors is an integer number (492206512896).

Almost surely, 2^{14022100122041} is an apocalyptic number.

14022100122041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14022100122041 is a deficient number, since it is larger than the sum of its proper divisors (1728508290631).

14022100122041 is a wasteful number, since it uses less digits than its factorization.

14022100122041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167045.

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 14022100 and 122041, that added together give a palindrome (14144141).

The spelling of 14022100122041 in words is "fourteen trillion, twenty-two billion, one hundred million, one hundred twenty-two thousand, forty-one".