100110001011011 has 8 divisors (see below), whose sum is σ = 105998947858944. Its totient is φ = 94221067858560.

The previous prime is 100110001011001. The next prime is 100110001011047. The reversal of 100110001011011 is 110110100011001.

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 100110001011011 - 2⁶ = 100110001010947 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 100110001011011.

It is not an unprimeable number, because it can be changed into a prime (100110001011001) 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, 14224766 + ... + 20063996.

It is an arithmetic number, because the mean of its divisors is an integer number (13249868482368).

Almost surely, 2^{100110001011011} is an apocalyptic number.

100110001011011 is a deficient number, since it is larger than the sum of its proper divisors (5888946847933).

100110001011011 is a wasteful number, since it uses less digits than its factorization.

100110001011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6847741.

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

Adding to 100110001011011 its reverse (110110100011001), we get a palindrome (210220101022012).

It can be divided in two parts, 10011000 and 1011011, that added together give a palindrome (11022011).

The spelling of 100110001011011 in words is "one hundred trillion, one hundred ten billion, one million, eleven thousand, eleven".