4013221144101 has 16 divisors (see below), whose sum is σ = 6065867317440. Its totient is φ = 2339691678720.

The previous prime is 4013221144061. The next prime is 4013221144147. The reversal of 4013221144101 is 1014411223104.

It is a happy number.

It is not a de Polignac number, because 4013221144101 - 2²³ = 4013212755493 is a prime.

It is a super-2 number, since 2×4013221144101² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013221144151) 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 15 ways as a sum of consecutive naturals, for example, 2707975740 + ... + 2707977221.

It is an arithmetic number, because the mean of its divisors is an integer number (379116707340).

Almost surely, 2^{4013221144101} is an apocalyptic number.

It is an amenable number.

4013221144101 is a deficient number, since it is larger than the sum of its proper divisors (2052646173339).

4013221144101 is a wasteful number, since it uses less digits than its factorization.

4013221144101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5415952996.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 4013221144101 its reverse (1014411223104), we get a palindrome (5027632367205).

The spelling of 4013221144101 in words is "four trillion, thirteen billion, two hundred twenty-one million, one hundred forty-four thousand, one hundred one".