201101110032 has 80 divisors (see below), whose sum is σ = 534442654592. Its totient is φ = 65113113600.

The previous prime is 201101110019. The next prime is 201101110079. The reversal of 201101110032 is 230011101102.

201101110032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201101110032² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 973173 + ... + 1161579.

Almost surely, 2^201101110032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201101110032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267221327296).

201101110032 is an abundant number, since it is smaller than the sum of its proper divisors (333341544560).

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

201101110032 is a wasteful number, since it uses less digits than its factorization.

201101110032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189056 (or 189050 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 201101110032 its reverse (230011101102), we get a palindrome (431112211134).

The spelling of 201101110032 in words is "two hundred one billion, one hundred one million, one hundred ten thousand, thirty-two".