1011001221121 has 2 divisors, whose sum is σ = 1011001221122. Its totient is φ = 1011001221120.

The previous prime is 1011001221119. The next prime is 1011001221133. The reversal of 1011001221121 is 1211221001101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 785547188721 + 225454032400 = 886311^2 + 474820^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011001221121 - 2¹ = 1011001221119 is a prime.

Together with 1011001221119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1011001221151) 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, 505500610560 + 505500610561.

It is an arithmetic number, because the mean of its divisors is an integer number (505500610561).

Almost surely, 2^{1011001221121} is an apocalyptic number.

It is an amenable number.

1011001221121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011001221121 is an equidigital number, since it uses as much as digits as its factorization.

1011001221121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1011001221121 its reverse (1211221001101), we get a palindrome (2222222222222).

The spelling of 1011001221121 in words is "one trillion, eleven billion, one million, two hundred twenty-one thousand, one hundred twenty-one".