100001011112111 has 8 divisors (see below), whose sum is σ = 101418161446944. Its totient is φ = 98584102038240.

The previous prime is 100001011112071. The next prime is 100001011112131. The reversal of 100001011112111 is 111211110100001.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 100001011112111 - 2¹⁸ = 100001010849967 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100001011112092 and 100001011112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001011112131) 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, 59480300 + ... + 61138433.

It is an arithmetic number, because the mean of its divisors is an integer number (12677270180868).

Almost surely, 2^{100001011112111} is an apocalyptic number.

100001011112111 is a deficient number, since it is larger than the sum of its proper divisors (1417150334833).

100001011112111 is a wasteful number, since it uses less digits than its factorization.

100001011112111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120630481.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 100001011112111 its reverse (111211110100001), we get a palindrome (211212121212112).

The spelling of 100001011112111 in words is "one hundred trillion, one billion, eleven million, one hundred twelve thousand, one hundred eleven".