100101100111011 has 12 divisors (see below), whose sum is σ = 150877020457488. Its totient is φ = 63832585577904.

The previous prime is 100101100110953. The next prime is 100101100111013. The reversal of 100101100111011 is 110111001101001.

It is not a de Polignac number, because 100101100111011 - 2²⁶ = 100101033002147 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100101100110984 and 100101100111002.

It is not an unprimeable number, because it can be changed into a prime (100101100111013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241790096680 + ... + 241790097093.

It is an arithmetic number, because the mean of its divisors is an integer number (12573085038124).

Almost surely, 2^{100101100111011} is an apocalyptic number.

100101100111011 is a deficient number, since it is larger than the sum of its proper divisors (50775920346477).

100101100111011 is a wasteful number, since it uses less digits than its factorization.

100101100111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483580193802 (or 483580193799 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100101100111011 its reverse (110111001101001), we get a palindrome (210212101212012).

The spelling of 100101100111011 in words is "one hundred trillion, one hundred one billion, one hundred million, one hundred eleven thousand, eleven".