101110011100011 has 96 divisors (see below), whose sum is σ = 154245361121280. Its totient is φ = 63741995718912.

The previous prime is 101110011100003. The next prime is 101110011100127. The reversal of 101110011100011 is 110001110011101.

It is not a de Polignac number, because 101110011100011 - 2³ = 101110011100003 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 = 101110011099966 and 101110011100002.

It is not an unprimeable number, because it can be changed into a prime (101110011105011) 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, 4678192641 + ... + 4678214253.

It is an arithmetic number, because the mean of its divisors is an integer number (1606722511680).

Almost surely, 2^{101110011100011} is an apocalyptic number.

101110011100011 is a deficient number, since it is larger than the sum of its proper divisors (53135350021269).

101110011100011 is a wasteful number, since it uses less digits than its factorization.

101110011100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23305 (or 23302 counting only the distinct ones).

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

Adding to 101110011100011 its reverse (110001110011101), we get a palindrome (211111121111112).

The spelling of 101110011100011 in words is "one hundred one trillion, one hundred ten billion, eleven million, one hundred thousand, eleven".