110101101000977 has 2 divisors, whose sum is σ = 110101101000978. Its totient is φ = 110101101000976.

The previous prime is 110101101000967. The next prime is 110101101001007. The reversal of 110101101000977 is 779000101101011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61921176738001 + 48179924262976 = 7869001^2 + 6941176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110101101000977 is a prime.

It is not a weakly prime, because it can be changed into another prime (110101101000967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050550500488 + 55050550500489.

It is an arithmetic number, because the mean of its divisors is an integer number (55050550500489).

Almost surely, 2^{110101101000977} is an apocalyptic number.

It is an amenable number.

110101101000977 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101101000977 is an equidigital number, since it uses as much as digits as its factorization.

110101101000977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 441, while the sum is 29.

Adding to 110101101000977 its reverse (779000101101011), we get a palindrome (889101202101988).

The spelling of 110101101000977 in words is "one hundred ten trillion, one hundred one billion, one hundred one million, nine hundred seventy-seven", and thus it is an aban number.