1001111210161 has 2 divisors, whose sum is σ = 1001111210162. Its totient is φ = 1001111210160.

The previous prime is 1001111210147. The next prime is 1001111210171. The reversal of 1001111210161 is 1610121111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 999680025600 + 1431184561 = 999840^2 + 37831^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001111210161 - 2¹¹ = 1001111208113 is a prime.

It is a super-2 number, since 2×1001111210161² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1001111210171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500555605080 + 500555605081.

It is an arithmetic number, because the mean of its divisors is an integer number (500555605081).

Almost surely, 2^{1001111210161} is an apocalyptic number.

It is an amenable number.

1001111210161 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001111210161 is an equidigital number, since it uses as much as digits as its factorization.

1001111210161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 16.

Adding to 1001111210161 its reverse (1610121111001), we get a palindrome (2611232321162).

The spelling of 1001111210161 in words is "one trillion, one billion, one hundred eleven million, two hundred ten thousand, one hundred sixty-one".