201122314030401 has 16 divisors (see below), whose sum is σ = 268623991454784. Its totient is φ = 133851166473024.

The previous prime is 201122314030367. The next prime is 201122314030459. The reversal of 201122314030401 is 104030413221102.

It is not a de Polignac number, because 201122314030401 - 2⁷ = 201122314030273 is a prime.

It is a super-3 number, since 3×201122314030401³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (201122314030471) 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, 874455 + ... + 20075091.

It is an arithmetic number, because the mean of its divisors is an integer number (16788999465924).

Almost surely, 2^{201122314030401} is an apocalyptic number.

It is an amenable number.

201122314030401 is a deficient number, since it is larger than the sum of its proper divisors (67501677424383).

201122314030401 is a wasteful number, since it uses less digits than its factorization.

201122314030401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19206640.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 201122314030401 its reverse (104030413221102), we get a palindrome (305152727251503).

The spelling of 201122314030401 in words is "two hundred one trillion, one hundred twenty-two billion, three hundred fourteen million, thirty thousand, four hundred one".