101110100110101 has 24 divisors (see below), whose sum is σ = 155751487295040. Its totient is φ = 62985216813696.

The previous prime is 101110100109971. The next prime is 101110100110111. The reversal of 101110100110101 is 101011001011101.

It is not a de Polignac number, because 101110100110101 - 2⁹ = 101110100109589 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 (101110100110111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2377138185 + ... + 2377180718.

It is an arithmetic number, because the mean of its divisors is an integer number (6489645303960).

Almost surely, 2^{101110100110101} is an apocalyptic number.

It is an amenable number.

101110100110101 is a deficient number, since it is larger than the sum of its proper divisors (54641387184939).

101110100110101 is a wasteful number, since it uses less digits than its factorization.

101110100110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4754319065 (or 4754319062 counting only the distinct ones).

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

Adding to 101110100110101 its reverse (101011001011101), we get a palindrome (202121101121202).

The spelling of 101110100110101 in words is "one hundred one trillion, one hundred ten billion, one hundred million, one hundred ten thousand, one hundred one".