2101131131161 has 2 divisors, whose sum is σ = 2101131131162. Its totient is φ = 2101131131160.

The previous prime is 2101131131149. The next prime is 2101131131219. The reversal of 2101131131161 is 1611311311012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1677688105536 + 423443025625 = 1295256^2 + 650725^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101131131161 - 2⁵ = 2101131131129 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101138131161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050565565580 + 1050565565581.

It is an arithmetic number, because the mean of its divisors is an integer number (1050565565581).

Almost surely, 2^{2101131131161} is an apocalyptic number.

It is an amenable number.

2101131131161 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101131131161 is an equidigital number, since it uses as much as digits as its factorization.

2101131131161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 22.

Adding to 2101131131161 its reverse (1611311311012), we get a palindrome (3712442442173).

The spelling of 2101131131161 in words is "two trillion, one hundred one billion, one hundred thirty-one million, one hundred thirty-one thousand, one hundred sixty-one".