100011101120111 has 8 divisors (see below), whose sum is σ = 104630191936704. Its totient is φ = 95495810097280.

The previous prime is 100011101120107. The next prime is 100011101120113. The reversal of 100011101120111 is 111021101110001.

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 100011101120111 - 2² = 100011101120107 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100011101120092 and 100011101120101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011101120113) 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 7 ways as a sum of consecutive naturals, for example, 25949946470 + ... + 25949950323.

It is an arithmetic number, because the mean of its divisors is an integer number (13078773992088).

Almost surely, 2^{100011101120111} is an apocalyptic number.

100011101120111 is a deficient number, since it is larger than the sum of its proper divisors (4619090816593).

100011101120111 is an equidigital number, since it uses as much as digits as its factorization.

100011101120111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51899896881.

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

Adding to 100011101120111 its reverse (111021101110001), we get a palindrome (211032202230112).

The spelling of 100011101120111 in words is "one hundred trillion, eleven billion, one hundred one million, one hundred twenty thousand, one hundred eleven".