201100400011032 has 128 divisors (see below), whose sum is σ = 532783742400000. Its totient is φ = 63076762561536.

The previous prime is 201100400010997. The next prime is 201100400011037. The reversal of 201100400011032 is 230110004001102.

201100400011032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201100400011037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2769293188 + ... + 2769365804.

It is an arithmetic number, because the mean of its divisors is an integer number (4162372987500).

Almost surely, 2^{201100400011032} 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 201100400011032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266391871200000).

201100400011032 is an abundant number, since it is smaller than the sum of its proper divisors (331683342388968).

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

201100400011032 is a wasteful number, since it uses less digits than its factorization.

201100400011032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113553 (or 113549 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 201100400011032 its reverse (230110004001102), we get a palindrome (431210404012134).

The spelling of 201100400011032 in words is "two hundred one trillion, one hundred billion, four hundred million, eleven thousand, thirty-two".