110001010109952 has 320 divisors, whose sum is σ = 322471904477184. Its totient is φ = 33109333770240.

The previous prime is 110001010109951. The next prime is 110001010109957. The reversal of 110001010109952 is 259901010100011.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1892917377 + ... + 1892975487.

Almost surely, 2^{110001010109952} is an apocalyptic number.

110001010109952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110001010109952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161235952238592).

110001010109952 is an abundant number, since it is smaller than the sum of its proper divisors (212470894367232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110001010109952 is a wasteful number, since it uses less digits than its factorization.

110001010109952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60209 (or 60193 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 30.

Adding to 110001010109952 its reverse (259901010100011), we get a palindrome (369902020209963).

The spelling of 110001010109952 in words is "one hundred ten trillion, one billion, ten million, one hundred nine thousand, nine hundred fifty-two".