100111101101011 has 96 divisors (see below), whose sum is σ = 136994445987840. Its totient is φ = 71913707712000.

The previous prime is 100111101100991. The next prime is 100111101101027. The reversal of 100111101101011 is 110101101111001.

It is a happy number.

It is not a de Polignac number, because 100111101101011 - 2⁴¹ = 97912077845459 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100111101101111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25996129236 + ... + 25996133086.

It is an arithmetic number, because the mean of its divisors is an integer number (1427025479040).

Almost surely, 2^{100111101101011} is an apocalyptic number.

100111101101011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100111101101011 is a deficient number, since it is larger than the sum of its proper divisors (36883344886829).

100111101101011 is a wasteful number, since it uses less digits than its factorization.

100111101101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7785 (or 7778 counting only the distinct ones).

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

Adding to 100111101101011 its reverse (110101101111001), we get a palindrome (210212202212012).

It can be divided in two parts, 100 and 111101101011, that added together give a palindrome (111101101111).

The spelling of 100111101101011 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, one hundred one thousand, eleven".