122133122121001 has 4 divisors (see below), whose sum is σ = 122911040096452. Its totient is φ = 121355204145552.

The previous prime is 122133122120987. The next prime is 122133122121007. The reversal of 122133122121001 is 100121221331221.

It is a happy number.

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 41668006165776 + 80465115955225 = 6455076^2 + 8970235^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122133122121001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122133122121007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 388958987490 + ... + 388958987803.

It is an arithmetic number, because the mean of its divisors is an integer number (30727760024113).

Almost surely, 2^{122133122121001} is an apocalyptic number.

It is an amenable number.

122133122121001 is a deficient number, since it is larger than the sum of its proper divisors (777917975451).

122133122121001 is an equidigital number, since it uses as much as digits as its factorization.

122133122121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777917975450.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 122133122121001 its reverse (100121221331221), we get a palindrome (222254343452222).

The spelling of 122133122121001 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, one hundred twenty-two million, one hundred twenty-one thousand, one".