1110110101101 has 6 divisors (see below), whose sum is σ = 1603492368270. Its totient is φ = 740073400728.

The previous prime is 1110110101069. The next prime is 1110110101141. The reversal of 1110110101101 is 1011010110111.

It can be written as a sum of positive squares in only one way, i.e., 1045657585476 + 64452515625 = 1022574^2 + 253875^2 .

It is not a de Polignac number, because 1110110101101 - 2⁵ = 1110110101069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 123345566789 = 1110110101101 / (1 + 1 + 1 + 0 + 1 + 1 + 0 + 1 + 0 + 1 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110110101141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61672783386 + ... + 61672783403.

It is an arithmetic number, because the mean of its divisors is an integer number (267248728045).

Almost surely, 2^{1110110101101} is an apocalyptic number.

It is an amenable number.

1110110101101 is a deficient number, since it is larger than the sum of its proper divisors (493382267169).

1110110101101 is a wasteful number, since it uses less digits than its factorization.

1110110101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123345566795 (or 123345566792 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 1110110101101 its reverse (1011010110111), we get a palindrome (2121120211212).

It can be divided in two parts, 11 and 10110101101, that multiplied together give a palindrome (111211112111).

The spelling of 1110110101101 in words is "one trillion, one hundred ten billion, one hundred ten million, one hundred one thousand, one hundred one".