100111101122011 has 8 divisors (see below), whose sum is σ = 114413237435360. Its totient is φ = 85809102418368.

The previous prime is 100111101122003. The next prime is 100111101122057. The reversal of 100111101122011 is 110221101111001.

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

It is not a de Polignac number, because 100111101122011 - 2³ = 100111101122003 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111101121982 and 100111101122000.

It is not an unprimeable number, because it can be changed into a prime (100111101122411) 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, 32838756 + ... + 35757601.

It is an arithmetic number, because the mean of its divisors is an integer number (14301654679420).

Almost surely, 2^{100111101122011} is an apocalyptic number.

100111101122011 is a deficient number, since it is larger than the sum of its proper divisors (14302136313349).

100111101122011 is an equidigital number, since it uses as much as digits as its factorization.

100111101122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68804853.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 100111101122011 its reverse (110221101111001), we get a palindrome (210332202233012).

The spelling of 100111101122011 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, one hundred twenty-two thousand, eleven".