214400120111101 has 32 divisors (see below), whose sum is σ = 219438533952000. Its totient is φ = 209419465305600.

The previous prime is 214400120111083. The next prime is 214400120111119. The reversal of 214400120111101 is 101111021004412.

It is an interprime number because it is at equal distance from previous prime (214400120111083) and next prime (214400120111119).

It is a cyclic number.

It is not a de Polignac number, because 214400120111101 - 2¹¹ = 214400120109053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214400120111161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (37) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40752728811 + ... + 40752734071.

It is an arithmetic number, because the mean of its divisors is an integer number (6857454186000).

Almost surely, 2^{214400120111101} is an apocalyptic number.

It is an amenable number.

214400120111101 is a deficient number, since it is larger than the sum of its proper divisors (5038413840899).

214400120111101 is a wasteful number, since it uses less digits than its factorization.

214400120111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9685.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 214400120111101 its reverse (101111021004412), we get a palindrome (315511141115513).

The spelling of 214400120111101 in words is "two hundred fourteen trillion, four hundred billion, one hundred twenty million, one hundred eleven thousand, one hundred one".