122001020100201 has 64 divisors (see below), whose sum is σ = 182456267846400. Its totient is φ = 71861097369600.

The previous prime is 122001020100137. The next prime is 122001020100257. The reversal of 122001020100201 is 102001020100221.

It is not a de Polignac number, because 122001020100201 - 2⁶ = 122001020100137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122001020110201) 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 63 ways as a sum of consecutive naturals, for example, 5014621405 + ... + 5014645733.

It is an arithmetic number, because the mean of its divisors is an integer number (2850879185100).

Almost surely, 2^{122001020100201} is an apocalyptic number.

122001020100201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122001020100201 is a deficient number, since it is larger than the sum of its proper divisors (60455247746199).

122001020100201 is a wasteful number, since it uses less digits than its factorization.

122001020100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28810.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122001020100201 its reverse (102001020100221), we get a palindrome (224002040200422).

It can be divided in two parts, 122001020 and 100201, that added together give a palindrome (122101221).

The spelling of 122001020100201 in words is "one hundred twenty-two trillion, one billion, twenty million, one hundred thousand, two hundred one".