110001010109959 has 24 divisors (see below), whose sum is σ = 119808433981872. Its totient is φ = 100643419134720.

The previous prime is 110001010109957. The next prime is 110001010110007. The reversal of 110001010109959 is 959901010100011.

It is not a de Polignac number, because 110001010109959 - 2¹ = 110001010109957 is a prime.

It is a super-2 number, since 2×110001010109959² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110001010109951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1660384 + ... + 14925109.

It is an arithmetic number, because the mean of its divisors is an integer number (4992018082578).

Almost surely, 2^{110001010109959} is an apocalyptic number.

110001010109959 is a deficient number, since it is larger than the sum of its proper divisors (9807423871913).

110001010109959 is a wasteful number, since it uses less digits than its factorization.

110001010109959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16585807 (or 16585764 counting only the distinct ones).

The product of its (nonzero) digits is 3645, while the sum is 37.

The spelling of 110001010109959 in words is "one hundred ten trillion, one billion, ten million, one hundred nine thousand, nine hundred fifty-nine".