10102520331121 has 2 divisors, whose sum is σ = 10102520331122. Its totient is φ = 10102520331120.

The previous prime is 10102520331119. The next prime is 10102520331151. The reversal of 10102520331121 is 12113302520101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7256078951521 + 2846441379600 = 2693711^2 + 1687140^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102520331121 - 2¹ = 10102520331119 is a prime.

It is a super-2 number, since 2×10102520331121² (a number of 27 digits) contains 22 as substring.

Together with 10102520331119, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10102520331092 and 10102520331101.

It is not a weakly prime, because it can be changed into another prime (10102520331151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051260165560 + 5051260165561.

It is an arithmetic number, because the mean of its divisors is an integer number (5051260165561).

Almost surely, 2^{10102520331121} is an apocalyptic number.

It is an amenable number.

10102520331121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102520331121 is an equidigital number, since it uses as much as digits as its factorization.

10102520331121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 10102520331121 its reverse (12113302520101), we get a palindrome (22215822851222).

The spelling of 10102520331121 in words is "ten trillion, one hundred two billion, five hundred twenty million, three hundred thirty-one thousand, one hundred twenty-one".