1015012122121 has 2 divisors, whose sum is σ = 1015012122122. Its totient is φ = 1015012122120.

The previous prime is 1015012122079. The next prime is 1015012122149. The reversal of 1015012122121 is 1212212105101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1006089241600 + 8922880521 = 1003040^2 + 94461^2 .

It is a cyclic number.

It is not a de Polignac number, because 1015012122121 - 2¹⁹ = 1015011597833 is a prime.

It is not a weakly prime, because it can be changed into another prime (1015012122161) 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 as a sum of consecutive naturals, namely, 507506061060 + 507506061061.

It is an arithmetic number, because the mean of its divisors is an integer number (507506061061).

Almost surely, 2^{1015012122121} is an apocalyptic number.

It is an amenable number.

1015012122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1015012122121 is an equidigital number, since it uses as much as digits as its factorization.

1015012122121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80, while the sum is 19.

Adding to 1015012122121 its reverse (1212212105101), we get a palindrome (2227224227222).

The spelling of 1015012122121 in words is "one trillion, fifteen billion, twelve million, one hundred twenty-two thousand, one hundred twenty-one".