1002121201121 has 2 divisors, whose sum is σ = 1002121201122. Its totient is φ = 1002121201120.

The previous prime is 1002121201117. The next prime is 1002121201139. The reversal of 1002121201121 is 1211021212001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1001170342225 + 950858896 = 1000585^2 + 30836^2 .

It is an emirp because it is prime and its reverse (1211021212001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1002121201121 - 2² = 1002121201117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002121201096 and 1002121201105.

It is not a weakly prime, because it can be changed into another prime (1002121201171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501060600560 + 501060600561.

It is an arithmetic number, because the mean of its divisors is an integer number (501060600561).

Almost surely, 2^{1002121201121} is an apocalyptic number.

It is an amenable number.

1002121201121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002121201121 is an equidigital number, since it uses as much as digits as its factorization.

1002121201121 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 14.

Adding to 1002121201121 its reverse (1211021212001), we get a palindrome (2213142413122).

The spelling of 1002121201121 in words is "one trillion, two billion, one hundred twenty-one million, two hundred one thousand, one hundred twenty-one".