1001121210041 has 2 divisors, whose sum is σ = 1001121210042. Its totient is φ = 1001121210040.

The previous prime is 1001121210017. The next prime is 1001121210053. The reversal of 1001121210041 is 1400121211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 990066790441 + 11054419600 = 995021^2 + 105140^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001121210041 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1001121209998 and 1001121210025.

It is not a weakly prime, because it can be changed into another prime (1001121210241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500560605020 + 500560605021.

It is an arithmetic number, because the mean of its divisors is an integer number (500560605021).

Almost surely, 2^{1001121210041} is an apocalyptic number.

It is an amenable number.

1001121210041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001121210041 is an equidigital number, since it uses as much as digits as its factorization.

1001121210041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1001121210041 its reverse (1400121211001), we get a palindrome (2401242421042).

The spelling of 1001121210041 in words is "one trillion, one billion, one hundred twenty-one million, two hundred ten thousand, forty-one".