101101111211101 has 8 divisors (see below), whose sum is σ = 101314983513600. Its totient is φ = 100887250598160.

The previous prime is 101101111211083. The next prime is 101101111211161. The reversal of 101101111211101 is 101112111101101.

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 101101111211101 - 2³¹ = 101098963727453 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 (101101111211161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14503360 + ... + 20311318.

It is an arithmetic number, because the mean of its divisors is an integer number (12664372939200).

Almost surely, 2^{101101111211101} is an apocalyptic number.

It is an amenable number.

101101111211101 is a deficient number, since it is larger than the sum of its proper divisors (213872302499).

101101111211101 is an equidigital number, since it uses as much as digits as its factorization.

101101111211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844779.

The product of its (nonzero) digits is 2, while the sum is 13.

Adding to 101101111211101 its reverse (101112111101101), we get a palindrome (202213222312202).

The spelling of 101101111211101 in words is "one hundred one trillion, one hundred one billion, one hundred eleven million, two hundred eleven thousand, one hundred one".