101101001010881 has 2 divisors, whose sum is σ = 101101001010882. Its totient is φ = 101101001010880.

The previous prime is 101101001010761. The next prime is 101101001010883. The reversal of 101101001010881 is 188010100101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92694532840000 + 8406468170881 = 9627800^2 + 2899391^2 .

It is an emirp because it is prime and its reverse (188010100101101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101101001010881 - 2³⁰ = 101099927269057 is a prime.

It is a super-2 number, since 2×101101001010881² (a number of 29 digits) contains 22 as substring.

Together with 101101001010883, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101101001010883) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550500505440 + 50550500505441.

It is an arithmetic number, because the mean of its divisors is an integer number (50550500505441).

Almost surely, 2^{101101001010881} is an apocalyptic number.

It is an amenable number.

101101001010881 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101001010881 is an equidigital number, since it uses as much as digits as its factorization.

101101001010881 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 23.

Adding to 101101001010881 its reverse (188010100101101), we get a palindrome (289111101111982).

The spelling of 101101001010881 in words is "one hundred one trillion, one hundred one billion, one million, ten thousand, eight hundred eighty-one".