100111101011011 has 8 divisors (see below), whose sum is σ = 106423473718800. Its totient is φ = 93903065042400.

The previous prime is 100111101010931. The next prime is 100111101011023. The reversal of 100111101011011 is 110110101111001.

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 not a de Polignac number, because 100111101011011 - 2⁹ = 100111101010499 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111101011111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26084182816 + ... + 26084186653.

It is an arithmetic number, because the mean of its divisors is an integer number (13302934214850).

Almost surely, 2^{100111101011011} is an apocalyptic number.

100111101011011 is a deficient number, since it is larger than the sum of its proper divisors (6312372707789).

100111101011011 is a wasteful number, since it uses less digits than its factorization.

100111101011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52168369589.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 100111101011011 its reverse (110110101111001), we get a palindrome (210221202122012).

The spelling of 100111101011011 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, eleven thousand, eleven".