122101210001201 has 6 divisors (see below), whose sum is σ = 124448474276070. Its totient is φ = 119797413583328.

The previous prime is 122101210001179. The next prime is 122101210001237. The reversal of 122101210001201 is 102100012101221.

It can be written as a sum of positive squares in 3 ways, for example, as 7263838912801 + 114837371088400 = 2695151^2 + 10716220^2 .

It is not a de Polignac number, because 122101210001201 - 2⁴² = 117703163490097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122101210009201) 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 5 ways as a sum of consecutive naturals, for example, 21733925636 + ... + 21733931253.

It is an arithmetic number, because the mean of its divisors is an integer number (20741412379345).

Almost surely, 2^{122101210001201} is an apocalyptic number.

It is an amenable number.

122101210001201 is a deficient number, since it is larger than the sum of its proper divisors (2347264274869).

122101210001201 is an frugal number, since it uses more digits than its factorization.

122101210001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43467856995 (or 43467856942 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122101210001201 its reverse (102100012101221), we get a palindrome (224201222102422).

The spelling of 122101210001201 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred ten million, one thousand, two hundred one".