100010000111011 has 16 divisors (see below), whose sum is σ = 105435880243200. Its totient is φ = 94600450188288.

The previous prime is 100010000110997. The next prime is 100010000111023. The reversal of 100010000111011 is 110111000010001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100010000111011 - 2⁷ = 100010000110883 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100010000110985 and 100010000111003.

It is not an unprimeable number, because it can be changed into a prime (100010000111081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31040670 + ... + 34110748.

It is an arithmetic number, because the mean of its divisors is an integer number (6589742515200).

Almost surely, 2^{100010000111011} is an apocalyptic number.

100010000111011 is a deficient number, since it is larger than the sum of its proper divisors (5425880132189).

100010000111011 is a wasteful number, since it uses less digits than its factorization.

100010000111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072738.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100010000111011 its reverse (110111000010001), we get a palindrome (210121000121012).

The spelling of 100010000111011 in words is "one hundred trillion, ten billion, one hundred eleven thousand, eleven".