10122120201121 has 2 divisors, whose sum is σ = 10122120201122. Its totient is φ = 10122120201120.

The previous prime is 10122120201091. The next prime is 10122120201131. The reversal of 10122120201121 is 12110202122101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10050168040000 + 71952161121 = 3170200^2 + 268239^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122120201121 - 2²⁵ = 10122086646689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10122120201095 and 10122120201104.

It is not a weakly prime, because it can be changed into another prime (10122120201131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061060100560 + 5061060100561.

It is an arithmetic number, because the mean of its divisors is an integer number (5061060100561).

Almost surely, 2^{10122120201121} is an apocalyptic number.

It is an amenable number.

10122120201121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122120201121 is an equidigital number, since it uses as much as digits as its factorization.

10122120201121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10122120201121 its reverse (12110202122101), we get a palindrome (22232322323222).

The spelling of 10122120201121 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty million, two hundred one thousand, one hundred twenty-one".