122101001022221 has 16 divisors (see below), whose sum is σ = 132282138513840. Its totient is φ = 112699511271360.

The previous prime is 122101001022181. The next prime is 122101001022233. The reversal of 122101001022221 is 122220100101221.

It can be written as a sum of positive squares in 8 ways, for example, as 61125423975625 + 60975577046596 = 7818275^2 + 7808686^2 .

It is not a de Polignac number, because 122101001022221 - 2²² = 122100996827917 is a prime.

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 122101001022221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101001022241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25032731 + ... + 29509991.

It is an arithmetic number, because the mean of its divisors is an integer number (8267633657115).

Almost surely, 2^{122101001022221} is an apocalyptic number.

It is an amenable number.

122101001022221 is a deficient number, since it is larger than the sum of its proper divisors (10181137491619).

122101001022221 is an equidigital number, since it uses as much as digits as its factorization.

122101001022221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4489713 (or 4489687 counting only the distinct ones).

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

Adding to 122101001022221 its reverse (122220100101221), we get a palindrome (244321101123442).

The spelling of 122101001022221 in words is "one hundred twenty-two trillion, one hundred one billion, one million, twenty-two thousand, two hundred twenty-one".