2105386111001 has 12 divisors (see below), whose sum is σ = 2182625594604. Its totient is φ = 2030794785600.

The previous prime is 2105386110887. The next prime is 2105386111013. The reversal of 2105386111001 is 1001116835012.

It can be written as a sum of positive squares in 6 ways, for example, as 855621001 + 2104530490000 = 29251^2 + 1450700^2 .

It is not a de Polignac number, because 2105386111001 - 2³⁴ = 2088206241817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2105386111901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 367310 + ... + 2084631.

It is an arithmetic number, because the mean of its divisors is an integer number (181885466217).

Almost surely, 2^{2105386111001} is an apocalyptic number.

It is an amenable number.

2105386111001 is a deficient number, since it is larger than the sum of its proper divisors (77239483603).

2105386111001 is a wasteful number, since it uses less digits than its factorization.

2105386111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453020 (or 2452991 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 29.

The spelling of 2105386111001 in words is "two trillion, one hundred five billion, three hundred eighty-six million, one hundred eleven thousand, one".