122101210110121 has 48 divisors (see below), whose sum is σ = 137834364244752. Its totient is φ = 108053007575040.

The previous prime is 122101210110097. The next prime is 122101210110221. The reversal of 122101210110121 is 121011012101221.

It can be written as a sum of positive squares in 8 ways, for example, as 14187840555625 + 107913369554496 = 3766675^2 + 10388136^2 .

It is not a de Polignac number, because 122101210110121 - 2²¹ = 122101208012969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122101210110095 and 122101210110104.

It is not an unprimeable number, because it can be changed into a prime (122101210110221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209059315 + ... + 209642551.

It is an arithmetic number, because the mean of its divisors is an integer number (2871549255099).

Almost surely, 2^{122101210110121} is an apocalyptic number.

122101210110121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122101210110121 is a deficient number, since it is larger than the sum of its proper divisors (15733154134631).

122101210110121 is a wasteful number, since it uses less digits than its factorization.

122101210110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583642 (or 583631 counting only the distinct ones).

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

Adding to 122101210110121 its reverse (121011012101221), we get a palindrome (243112222211342).

The spelling of 122101210110121 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred ten million, one hundred ten thousand, one hundred twenty-one".