122122133202001 has 4 divisors (see below), whose sum is σ = 122122250255872. Its totient is φ = 122122016148132.

The previous prime is 122122133201953. The next prime is 122122133202011. The reversal of 122122133202001 is 100202331221221.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 122122133202001 - 2²⁹ = 122121596331089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122122133202011) 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, 56947785 + ... + 59053318.

It is an arithmetic number, because the mean of its divisors is an integer number (30530562563968).

Almost surely, 2^{122122133202001} is an apocalyptic number.

It is an amenable number.

122122133202001 is a deficient number, since it is larger than the sum of its proper divisors (117053871).

122122133202001 is a wasteful number, since it uses less digits than its factorization.

122122133202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117053870.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 122122133202001 its reverse (100202331221221), we get a palindrome (222324464423222).

The spelling of 122122133202001 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred thirty-three million, two hundred two thousand, one".