110100001112077 has 2 divisors, whose sum is σ = 110100001112078. Its totient is φ = 110100001112076.

The previous prime is 110100001112071. The next prime is 110100001112083. The reversal of 110100001112077 is 770211100001011.

It is a balanced prime because it is at equal distance from previous prime (110100001112071) and next prime (110100001112083).

It can be written as a sum of positive squares in only one way, i.e., 64592308120356 + 45507692991721 = 8036934^2 + 6745939^2 .

It is a cyclic number.

It is not a de Polignac number, because 110100001112077 - 2²⁷ = 110099866894349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110100001112071) 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, 55050000556038 + 55050000556039.

It is an arithmetic number, because the mean of its divisors is an integer number (55050000556039).

Almost surely, 2^{110100001112077} is an apocalyptic number.

It is an amenable number.

110100001112077 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100001112077 is an equidigital number, since it uses as much as digits as its factorization.

110100001112077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 98, while the sum is 22.

Adding to 110100001112077 its reverse (770211100001011), we get a palindrome (880311101113088).

The spelling of 110100001112077 in words is "one hundred ten trillion, one hundred billion, one million, one hundred twelve thousand, seventy-seven".