1010001016121 has 2 divisors, whose sum is σ = 1010001016122. Its totient is φ = 1010001016120.

The previous prime is 1010001016099. The next prime is 1010001016183. The reversal of 1010001016121 is 1216101000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1001128318096 + 8872698025 = 1000564^2 + 94195^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010001016121 - 2³⁸ = 735123109177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010001016096 and 1010001016105.

It is not a weakly prime, because it can be changed into another prime (1010001016621) 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, 505000508060 + 505000508061.

It is an arithmetic number, because the mean of its divisors is an integer number (505000508061).

Almost surely, 2^{1010001016121} is an apocalyptic number.

It is an amenable number.

1010001016121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010001016121 is an equidigital number, since it uses as much as digits as its factorization.

1010001016121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 1010001016121 its reverse (1216101000101), we get a palindrome (2226102016222).

The spelling of 1010001016121 in words is "one trillion, ten billion, one million, sixteen thousand, one hundred twenty-one".