101111100110101 has 4 divisors (see below), whose sum is σ = 104597689769100. Its totient is φ = 97624510451104.

The previous prime is 101111100110021. The next prime is 101111100110129. The reversal of 101111100110101 is 101011001111101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 44107543105201 + 57003557004900 = 6641351^2 + 7550070^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111100110101 - 2⁷ = 101111100109973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111100110201) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1743294829456 + ... + 1743294829513.

It is an arithmetic number, because the mean of its divisors is an integer number (26149422442275).

Almost surely, 2^{101111100110101} is an apocalyptic number.

It is an amenable number.

101111100110101 is a deficient number, since it is larger than the sum of its proper divisors (3486589658999).

101111100110101 is an equidigital number, since it uses as much as digits as its factorization.

101111100110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3486589658998.

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

Adding to 101111100110101 its reverse (101011001111101), we get a palindrome (202122101221202).

The spelling of 101111100110101 in words is "one hundred one trillion, one hundred eleven billion, one hundred million, one hundred ten thousand, one hundred one".