100010000101111 has 4 divisors (see below), whose sum is σ = 100187637757272. Its totient is φ = 99832362444952.

The previous prime is 100010000101073. The next prime is 100010000101133. The reversal of 100010000101111 is 111101000010001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 100010000101111 - 2³⁵ = 99975640362743 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100010000101094 and 100010000101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010000191111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88818827236 + ... + 88818828361.

It is an arithmetic number, because the mean of its divisors is an integer number (25046909439318).

Almost surely, 2^{100010000101111} is an apocalyptic number.

100010000101111 is a deficient number, since it is larger than the sum of its proper divisors (177637656161).

100010000101111 is an equidigital number, since it uses as much as digits as its factorization.

100010000101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177637656160.

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

Adding to 100010000101111 its reverse (111101000010001), we get a palindrome (211111000111112).

The spelling of 100010000101111 in words is "one hundred trillion, ten billion, one hundred one thousand, one hundred eleven".