1002102102121 has 2 divisors, whose sum is σ = 1002102102122. Its totient is φ = 1002102102120.

The previous prime is 1002102102083. The next prime is 1002102102247. The reversal of 1002102102121 is 1212012012001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 999578044521 + 2524057600 = 999789^2 + 50240^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002102102121 - 2¹¹ = 1002102100073 is a prime.

It is a super-2 number, since 2×1002102102121² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1002102142121) 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, 501051051060 + 501051051061.

It is an arithmetic number, because the mean of its divisors is an integer number (501051051061).

Almost surely, 2^{1002102102121} is an apocalyptic number.

It is an amenable number.

1002102102121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002102102121 is an equidigital number, since it uses as much as digits as its factorization.

1002102102121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1002102102121 its reverse (1212012012001), we get a palindrome (2214114114122).

The spelling of 1002102102121 in words is "one trillion, two billion, one hundred two million, one hundred two thousand, one hundred twenty-one".