101110100011001 has 8 divisors (see below), whose sum is σ = 101424705057024. Its totient is φ = 100795707469440.

The previous prime is 101110100010977. The next prime is 101110100011003. The reversal of 101110100011001 is 100110001011101.

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

It is a cyclic number.

It is not a de Polignac number, because 101110100011001 - 2¹⁰ = 101110100009977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101110100011001.

It is not an unprimeable number, because it can be changed into a prime (101110100011003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52173005 + ... + 54076266.

It is an arithmetic number, because the mean of its divisors is an integer number (12678088132128).

Almost surely, 2^{101110100011001} is an apocalyptic number.

It is an amenable number.

101110100011001 is a deficient number, since it is larger than the sum of its proper divisors (314605046023).

101110100011001 is a wasteful number, since it uses less digits than its factorization.

101110100011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106252231.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101110100011001 its reverse (100110001011101), we get a palindrome (201220101022102).

The spelling of 101110100011001 in words is "one hundred one trillion, one hundred ten billion, one hundred million, eleven thousand, one".