110010110100049 has 2 divisors, whose sum is σ = 110010110100050. Its totient is φ = 110010110100048.

The previous prime is 110010110100043. The next prime is 110010110100073. The reversal of 110010110100049 is 940001011010011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93066538410000 + 16943571690049 = 9647100^2 + 4116257^2 .

It is a cyclic number.

It is not a de Polignac number, because 110010110100049 - 2¹⁵ = 110010110067281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110010110099999 and 110010110100035.

It is not a weakly prime, because it can be changed into another prime (110010110100043) 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, 55005055050024 + 55005055050025.

It is an arithmetic number, because the mean of its divisors is an integer number (55005055050025).

Almost surely, 2^{110010110100049} is an apocalyptic number.

It is an amenable number.

110010110100049 is a deficient number, since it is larger than the sum of its proper divisors (1).

110010110100049 is an equidigital number, since it uses as much as digits as its factorization.

110010110100049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 110010110100049 in words is "one hundred ten trillion, ten billion, one hundred ten million, one hundred thousand, forty-nine".