101101110100011 has 96 divisors (see below), whose sum is σ = 171367009701888. Its totient is φ = 56234107984320.

The previous prime is 101101110100007. The next prime is 101101110100019. The reversal of 101101110100011 is 110001011101101.

It is not a de Polignac number, because 101101110100011 - 2² = 101101110100007 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 101101110099966 and 101101110100002.

It is not an unprimeable number, because it can be changed into a prime (101101110100019) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6911943880 + ... + 6911958506.

It is an arithmetic number, because the mean of its divisors is an integer number (1785073017728).

Almost surely, 2^{101101110100011} is an apocalyptic number.

101101110100011 is a deficient number, since it is larger than the sum of its proper divisors (70265899601877).

101101110100011 is a wasteful number, since it uses less digits than its factorization.

101101110100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23301 (or 23298 counting only the distinct ones).

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

Adding to 101101110100011 its reverse (110001011101101), we get a palindrome (211102121201112).

The spelling of 101101110100011 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, one hundred thousand, eleven".