1001121102161 has 2 divisors, whose sum is σ = 1001121102162. Its totient is φ = 1001121102160.

The previous prime is 1001121102127. The next prime is 1001121102227. The reversal of 1001121102161 is 1612011211001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 696505415761 + 304615686400 = 834569^2 + 551920^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001121102161 - 2¹⁰ = 1001121101137 is a prime.

It is a super-2 number, since 2×1001121102161² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1001121402161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500560551080 + 500560551081.

It is an arithmetic number, because the mean of its divisors is an integer number (500560551081).

Almost surely, 2^{1001121102161} is an apocalyptic number.

It is an amenable number.

1001121102161 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001121102161 is an equidigital number, since it uses as much as digits as its factorization.

1001121102161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 1001121102161 its reverse (1612011211001), we get a palindrome (2613132313162).

The spelling of 1001121102161 in words is "one trillion, one billion, one hundred twenty-one million, one hundred two thousand, one hundred sixty-one".