122113042000001 has 16 divisors (see below), whose sum is σ = 134089230812880. Its totient is φ = 110517643192320.

The previous prime is 122113041999997. The next prime is 122113042000031. The reversal of 122113042000001 is 100000240311221.

It can be written as a sum of positive squares in 8 ways, for example, as 43306941801601 + 78806100198400 = 6580801^2 + 8877280^2 .

It is not a de Polignac number, because 122113042000001 - 2² = 122113041999997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122113042000031) 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, 245740136 + ... + 246236553.

It is an arithmetic number, because the mean of its divisors is an integer number (8380576925805).

Almost surely, 2^{122113042000001} is an apocalyptic number.

It is an amenable number.

122113042000001 is a deficient number, since it is larger than the sum of its proper divisors (11976188812879).

122113042000001 is a wasteful number, since it uses less digits than its factorization.

122113042000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491977076.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 122113042000001 its reverse (100000240311221), we get a palindrome (222113282311222).

The spelling of 122113042000001 in words is "one hundred twenty-two trillion, one hundred thirteen billion, forty-two million, one", and thus it is an aban number.