100110011011001 has 8 divisors (see below), whose sum is σ = 100545368482944. Its totient is φ = 99675228270960.

The previous prime is 100110011010943. The next prime is 100110011011081. The reversal of 100110011011001 is 100110110011001.

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 100110011011001 - 2⁴⁶ = 29741266833337 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 100110011011001.

It is not an unprimeable number, because it can be changed into a prime (100110011011081) 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, 143333846 + ... + 144030591.

It is an arithmetic number, because the mean of its divisors is an integer number (12568171060368).

Almost surely, 2^{100110011011001} is an apocalyptic number.

It is an amenable number.

100110011011001 is a deficient number, since it is larger than the sum of its proper divisors (435357471943).

100110011011001 is a wasteful number, since it uses less digits than its factorization.

100110011011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287365951.

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

Adding to 100110011011001 its reverse (100110110011001), we get a palindrome (200220121022002).

It can be divided in two parts, 1001 and 10011011001, that multiplied together give a palindrome (10021022012001).

The spelling of 100110011011001 in words is "one hundred trillion, one hundred ten billion, eleven million, eleven thousand, one".