10000100110111 has 8 divisors (see below), whose sum is σ = 10241399024384. Its totient is φ = 9759198398040.

The previous prime is 10000100110097. The next prime is 10000100110127. The reversal of 10000100110111 is 11101100100001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10000100110111 - 2⁷ = 10000100109983 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000100110094 and 10000100110103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000100110171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99249591 + ... + 99350296.

It is an arithmetic number, because the mean of its divisors is an integer number (1280174878048).

Almost surely, 2^{10000100110111} is an apocalyptic number.

10000100110111 is a deficient number, since it is larger than the sum of its proper divisors (241298914273).

10000100110111 is a wasteful number, since it uses less digits than its factorization.

10000100110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198601101.

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

Adding to 10000100110111 its reverse (11101100100001), we get a palindrome (21101200210112).

The spelling of 10000100110111 in words is "ten trillion, one hundred million, one hundred ten thousand, one hundred eleven".