100110133332 has 120 divisors (see below), whose sum is σ = 285878355840. Its totient is φ = 30296125440.

The previous prime is 100110133243. The next prime is 100110133337. The reversal of 100110133332 is 233331011001.

It is a happy number.

100110133332 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110133337) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2722453 + ... + 2758979.

It is an arithmetic number, because the mean of its divisors is an integer number (2382319632).

Almost surely, 2^100110133332 is an apocalyptic number.

100110133332 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 100110133332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142939177920).

100110133332 is an abundant number, since it is smaller than the sum of its proper divisors (185768222508).

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

100110133332 is a wasteful number, since it uses less digits than its factorization.

100110133332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37323 (or 37312 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100110133332 its reverse (233331011001), we get a palindrome (333441144333).

The spelling of 100110133332 in words is "one hundred billion, one hundred ten million, one hundred thirty-three thousand, three hundred thirty-two".