122101210022201 has 12 divisors (see below), whose sum is σ = 129706528933212. Its totient is φ = 114918432165888.

The previous prime is 122101210022191. The next prime is 122101210022227. The reversal of 122101210022201 is 102220012101221.

It can be written as a sum of positive squares in 6 ways, for example, as 49771628119801 + 72329581902400 = 7054901^2 + 8504680^2 .

It is not a de Polignac number, because 122101210022201 - 2¹⁰ = 122101210021177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122101210022201.

It is not an unprimeable number, because it can be changed into a prime (122101210021201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182311721 + ... + 182980233.

It is an arithmetic number, because the mean of its divisors is an integer number (10808877411101).

Almost surely, 2^{122101210022201} is an apocalyptic number.

It is an amenable number.

122101210022201 is a deficient number, since it is larger than the sum of its proper divisors (7605318911011).

122101210022201 is an equidigital number, since it uses as much as digits as its factorization.

122101210022201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300540 (or 1300523 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122101210022201 its reverse (102220012101221), we get a palindrome (224321222123422).

The spelling of 122101210022201 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred ten million, twenty-two thousand, two hundred one".