101110121100011 has 8 divisors (see below), whose sum is σ = 101246268952080. Its totient is φ = 100974060387328.

The previous prime is 101110121099983. The next prime is 101110121100133. The reversal of 101110121100011 is 110001121011101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101110121100011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101110121099965 and 101110121100001.

It is not an unprimeable number, because it can be changed into a prime (101110121100211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19462466 + ... + 24104103.

It is an arithmetic number, because the mean of its divisors is an integer number (12655783619010).

Almost surely, 2^{101110121100011} is an apocalyptic number.

101110121100011 is a deficient number, since it is larger than the sum of its proper divisors (136147852069).

101110121100011 is a wasteful number, since it uses less digits than its factorization.

101110121100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43569693.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101110121100011 its reverse (110001121011101), we get a palindrome (211111242111112).

The spelling of 101110121100011 in words is "one hundred one trillion, one hundred ten billion, one hundred twenty-one million, one hundred thousand, eleven".