101111444111101 has 4 divisors (see below), whose sum is σ = 101111535254304. Its totient is φ = 101111352967900.

The previous prime is 101111444111063. The next prime is 101111444111137.

101111444111101 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101111444111101 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 (101111448111101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43886785 + ... + 46133206.

It is an arithmetic number, because the mean of its divisors is an integer number (25277883813576).

Almost surely, 2^{101111444111101} is an apocalyptic number.

It is an amenable number.

101111444111101 is a deficient number, since it is larger than the sum of its proper divisors (91143203).

101111444111101 is an equidigital number, since it uses as much as digits as its factorization.

101111444111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91143202.

The product of its (nonzero) digits is 64, while the sum is 22.

The spelling of 101111444111101 in words is "one hundred one trillion, one hundred eleven billion, four hundred forty-four million, one hundred eleven thousand, one hundred one".