100000100101111 has 32 divisors (see below), whose sum is σ = 118418020761600. Its totient is φ = 82636149248640.

The previous prime is 100000100101091. The next prime is 100000100101259. The reversal of 100000100101111 is 111101001000001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100000100101111 - 2¹¹ = 100000100099063 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 100000100101094 and 100000100101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000100131111) 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 31 ways as a sum of consecutive naturals, for example, 1255154785 + ... + 1255234453.

It is an arithmetic number, because the mean of its divisors is an integer number (3700563148800).

Almost surely, 2^{100000100101111} is an apocalyptic number.

100000100101111 is a deficient number, since it is larger than the sum of its proper divisors (18417920660489).

100000100101111 is a wasteful number, since it uses less digits than its factorization.

100000100101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101479.

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

Adding to 100000100101111 its reverse (111101001000001), we get a palindrome (211101101101112).

The spelling of 100000100101111 in words is "one hundred trillion, one hundred million, one hundred one thousand, one hundred eleven".