121122331123201 has 4 divisors (see below), whose sum is σ = 121822460205012. Its totient is φ = 120422202041392.

The previous prime is 121122331123193. The next prime is 121122331123249. The reversal of 121122331123201 is 102321133221121.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 64049609610000 + 57072721513201 = 8003100^2 + 7554649^2 .

It is a cyclic number.

It is not a de Polignac number, because 121122331123201 - 2³ = 121122331123193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121122331123291) 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 3 ways as a sum of consecutive naturals, for example, 350064540646 + ... + 350064540991.

It is an arithmetic number, because the mean of its divisors is an integer number (30455615051253).

Almost surely, 2^{121122331123201} is an apocalyptic number.

It is an amenable number.

121122331123201 is a deficient number, since it is larger than the sum of its proper divisors (700129081811).

121122331123201 is an equidigital number, since it uses as much as digits as its factorization.

121122331123201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700129081810.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 121122331123201 its reverse (102321133221121), we get a palindrome (223443464344322).

The spelling of 121122331123201 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, three hundred thirty-one million, one hundred twenty-three thousand, two hundred one".