101020222000121 has 2 divisors, whose sum is σ = 101020222000122. Its totient is φ = 101020222000120.

The previous prime is 101020222000079. The next prime is 101020222000157. The reversal of 101020222000121 is 121000222020101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100048725934096 + 971496066025 = 10002436^2 + 985645^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020222000121 - 2⁶ = 101020222000057 is a prime.

It is a super-3 number, since 3×101020222000121³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101020222000096 and 101020222000105.

It is not a weakly prime, because it can be changed into another prime (101020222000721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510111000060 + 50510111000061.

It is an arithmetic number, because the mean of its divisors is an integer number (50510111000061).

Almost surely, 2^{101020222000121} is an apocalyptic number.

It is an amenable number.

101020222000121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020222000121 is an equidigital number, since it uses as much as digits as its factorization.

101020222000121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101020222000121 its reverse (121000222020101), we get a palindrome (222020444020222).

The spelling of 101020222000121 in words is "one hundred one trillion, twenty billion, two hundred twenty-two million, one hundred twenty-one", and thus it is an aban number.