122311010100001 has 8 divisors (see below), whose sum is σ = 122323516497000. Its totient is φ = 122298504209280.

The previous prime is 122311010099989. The next prime is 122311010100031. The reversal of 122311010100001 is 100001010113221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 44362469376 + 122266647630625 = 210624^2 + 11057425^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122311010100001 - 2³⁵ = 122276650361633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122311010100031) 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 7 ways as a sum of consecutive naturals, for example, 640205871 + ... + 640396891.

It is an arithmetic number, because the mean of its divisors is an integer number (15290439562125).

Almost surely, 2^{122311010100001} is an apocalyptic number.

It is an amenable number.

122311010100001 is a deficient number, since it is larger than the sum of its proper divisors (12506396999).

122311010100001 is a wasteful number, since it uses less digits than its factorization.

122311010100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253139.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 122311010100001 its reverse (100001010113221), we get a palindrome (222312020213222).

The spelling of 122311010100001 in words is "one hundred twenty-two trillion, three hundred eleven billion, ten million, one hundred thousand, one".