122122201120201 has 8 divisors (see below), whose sum is σ = 122131484958600. Its totient is φ = 122112917687040.

The previous prime is 122122201120193. The next prime is 122122201120207. The reversal of 122122201120201 is 102021102221221.

It can be written as a sum of positive squares in 4 ways, for example, as 419935104576 + 121702266015625 = 648024^2 + 11031875^2 .

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 122122201120201 - 2³ = 122122201120193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122122201120207) 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, 847639711 + ... + 847783771.

It is an arithmetic number, because the mean of its divisors is an integer number (15266435619825).

Almost surely, 2^{122122201120201} is an apocalyptic number.

It is an amenable number.

122122201120201 is a deficient number, since it is larger than the sum of its proper divisors (9283838399).

122122201120201 is a wasteful number, since it uses less digits than its factorization.

122122201120201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202619.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122122201120201 its reverse (102021102221221), we get a palindrome (224143303341422).

The spelling of 122122201120201 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, two hundred one million, one hundred twenty thousand, two hundred one".