110111110100101 has 6 divisors (see below), whose sum is σ = 121031220192806. Its totient is φ = 100101009181800.

The previous prime is 110111110100071. The next prime is 110111110100171. The reversal of 110111110100101 is 101001011111011.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 103543832571201 + 6567277528900 = 10175649^2 + 2562670^2 .

It is not a de Polignac number, because 110111110100101 - 2²¹ = 110111108002949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110111110100171) 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, 455004587070 + ... + 455004587311.

Almost surely, 2^{110111110100101} is an apocalyptic number.

110111110100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110111110100101 is a deficient number, since it is larger than the sum of its proper divisors (10920110092705).

110111110100101 is an equidigital number, since it uses as much as digits as its factorization.

110111110100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910009174403 (or 910009174392 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 110111110100101 its reverse (101001011111011), we get a palindrome (211112121211112).

The spelling of 110111110100101 in words is "one hundred ten trillion, one hundred eleven billion, one hundred ten million, one hundred thousand, one hundred one".