1001001120121 has 2 divisors, whose sum is σ = 1001001120122. Its totient is φ = 1001001120120.

The previous prime is 1001001120071. The next prime is 1001001120137. The reversal of 1001001120121 is 1210211001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 932074393600 + 68926726521 = 965440^2 + 262539^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001001120121 - 2⁹ = 1001001119609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001001120098 and 1001001120107.

It is not a weakly prime, because it can be changed into another prime (1001001120181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500500560060 + 500500560061.

It is an arithmetic number, because the mean of its divisors is an integer number (500500560061).

Almost surely, 2^{1001001120121} is an apocalyptic number.

It is an amenable number.

1001001120121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001001120121 is an equidigital number, since it uses as much as digits as its factorization.

1001001120121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1001001120121 its reverse (1210211001001), we get a palindrome (2211212121122).

It can be divided in two parts, 100100 and 1120121, that added together give a palindrome (1220221).

The spelling of 1001001120121 in words is "one trillion, one billion, one million, one hundred twenty thousand, one hundred twenty-one".