10122320122121 has 2 divisors, whose sum is σ = 10122320122122. Its totient is φ = 10122320122120.

The previous prime is 10122320122087. The next prime is 10122320122127. The reversal of 10122320122121 is 12122102322101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8879237838025 + 1243082284096 = 2979805^2 + 1114936^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10122320122121 is a prime.

It is a super-3 number, since 3×10122320122121³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10122320122093 and 10122320122102.

It is not a weakly prime, because it can be changed into another prime (10122320122127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061160061060 + 5061160061061.

It is an arithmetic number, because the mean of its divisors is an integer number (5061160061061).

Almost surely, 2^{10122320122121} is an apocalyptic number.

It is an amenable number.

10122320122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122320122121 is an equidigital number, since it uses as much as digits as its factorization.

10122320122121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10122320122121 its reverse (12122102322101), we get a palindrome (22244422444222).

The spelling of 10122320122121 in words is "ten trillion, one hundred twenty-two billion, three hundred twenty million, one hundred twenty-two thousand, one hundred twenty-one".