101441000111 has 8 divisors (see below), whose sum is σ = 110665821648. Its totient is φ = 92216664000.

The previous prime is 101441000107. The next prime is 101441000113. The reversal of 101441000111 is 111000144101.

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 101441000111 - 2² = 101441000107 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101441000113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 421001 + ... + 616541.

It is an arithmetic number, because the mean of its divisors is an integer number (13833227706).

Almost surely, 2^101441000111 is an apocalyptic number.

101441000111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101441000111 is a deficient number, since it is larger than the sum of its proper divisors (9224821537).

101441000111 is a wasteful number, since it uses less digits than its factorization.

101441000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242713.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101441000111 its reverse (111000144101), we get a palindrome (212441144212).

The spelling of 101441000111 in words is "one hundred one billion, four hundred forty-one million, one hundred eleven", and thus it is an aban number.