101110110100101 has 48 divisors (see below), whose sum is σ = 149890046731776. Its totient is φ = 65652971948928.

The previous prime is 101110110100073. The next prime is 101110110100121. The reversal of 101110110100101 is 101001011011101.

It is not a de Polignac number, because 101110110100101 - 2¹⁵ = 101110110067333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110110100121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66345675 + ... + 67852551.

It is an arithmetic number, because the mean of its divisors is an integer number (3122709306912).

Almost surely, 2^{101110110100101} is an apocalyptic number.

It is an amenable number.

101110110100101 is a deficient number, since it is larger than the sum of its proper divisors (48779936631675).

101110110100101 is a wasteful number, since it uses less digits than its factorization.

101110110100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507962 (or 1507959 counting only the distinct ones).

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

Adding to 101110110100101 its reverse (101001011011101), we get a palindrome (202111121111202).

It can be divided in two parts, 1011101 and 10100101, that multiplied together give a palindrome (10212222221201).

The spelling of 101110110100101 in words is "one hundred one trillion, one hundred ten billion, one hundred ten million, one hundred thousand, one hundred one".