110011100100961 has 2 divisors, whose sum is σ = 110011100100962. Its totient is φ = 110011100100960.

The previous prime is 110011100100959. The next prime is 110011100100977. The reversal of 110011100100961 is 169001001110011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58188824985600 + 51822275115361 = 7628160^2 + 7198769^2 .

It is a cyclic number.

It is not a de Polignac number, because 110011100100961 - 2¹ = 110011100100959 is a prime.

It is a super-2 number, since 2×110011100100961² (a number of 29 digits) contains 22 as substring.

Together with 110011100100959, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (110011100100901) 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, 55005550050480 + 55005550050481.

It is an arithmetic number, because the mean of its divisors is an integer number (55005550050481).

Almost surely, 2^{110011100100961} is an apocalyptic number.

It is an amenable number.

110011100100961 is a deficient number, since it is larger than the sum of its proper divisors (1).

110011100100961 is an equidigital number, since it uses as much as digits as its factorization.

110011100100961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 22.

Adding to 110011100100961 its reverse (169001001110011), we get a palindrome (279012101210972).

The spelling of 110011100100961 in words is "one hundred ten trillion, eleven billion, one hundred million, one hundred thousand, nine hundred sixty-one".