2122414144101 has 16 divisors (see below), whose sum is σ = 3144577317120. Its totient is φ = 1414825732800.

The previous prime is 2122414144079. The next prime is 2122414144111. The reversal of 2122414144101 is 1014414142212.

2122414144101 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 414 + 144 + 101 = 666.

It is not a de Polignac number, because 2122414144101 - 2⁵ = 2122414144069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122414144111) 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, 2917725 + ... + 3571826.

It is an arithmetic number, because the mean of its divisors is an integer number (196536082320).

Almost surely, 2^{2122414144101} is an apocalyptic number.

It is an amenable number.

2122414144101 is a deficient number, since it is larger than the sum of its proper divisors (1022163173019).

2122414144101 is a wasteful number, since it uses less digits than its factorization.

2122414144101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6501673 (or 6501667 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 2122414144101 its reverse (1014414142212), we get a palindrome (3136828286313).

The spelling of 2122414144101 in words is "two trillion, one hundred twenty-two billion, four hundred fourteen million, one hundred forty-four thousand, one hundred one".