122121201111001 has 8 divisors (see below), whose sum is σ = 130128398638920. Its totient is φ = 114205514412288.

The previous prime is 122121201110981. The next prime is 122121201111043. The reversal of 122121201111001 is 100111102121221.

It can be written as a sum of positive squares in 4 ways, for example, as 24582269718601 + 97538931392400 = 4958051^2 + 9876180^2 .

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 122121201111001 - 2⁵ = 122121201110969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122121201121001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22877704546 + ... + 22877709883.

It is an arithmetic number, because the mean of its divisors is an integer number (16266049829865).

Almost surely, 2^{122121201111001} is an apocalyptic number.

It is an amenable number.

122121201111001 is a deficient number, since it is larger than the sum of its proper divisors (8007197527919).

122121201111001 is a wasteful number, since it uses less digits than its factorization.

122121201111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45755414603.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 122121201111001 its reverse (100111102121221), we get a palindrome (222232303232222).

The spelling of 122121201111001 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, two hundred one million, one hundred eleven thousand, one".