121122122122201 has 8 divisors (see below), whose sum is σ = 121176162155880. Its totient is φ = 121068083232768.

The previous prime is 121122122122151. The next prime is 121122122122223. The reversal of 121122122122201 is 102221221221121.

It can be written as a sum of positive squares in 4 ways, for example, as 2689485201225 + 118432636920976 = 1639965^2 + 10882676^2 .

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 121122122122201 - 2¹⁹ = 121122121597913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121122122122291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 266815545 + ... + 267269113.

It is an arithmetic number, because the mean of its divisors is an integer number (15147020269485).

Almost surely, 2^{121122122122201} is an apocalyptic number.

It is an amenable number.

121122122122201 is a deficient number, since it is larger than the sum of its proper divisors (54040033679).

121122122122201 is a wasteful number, since it uses less digits than its factorization.

121122122122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572123.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 121122122122201 its reverse (102221221221121), we get a palindrome (223343343343322).

The spelling of 121122122122201 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred one".