100122311023332 has 192 divisors, whose sum is σ = 261004731369984. Its totient is φ = 29670954393600.

The previous prime is 100122311023277. The next prime is 100122311023333. The reversal of 100122311023332 is 233320113221001.

It is not an unprimeable number, because it can be changed into a prime (100122311023333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3087986473 + ... + 3088018895.

It is an arithmetic number, because the mean of its divisors is an integer number (1359399642552).

Almost surely, 2^{100122311023332} is an apocalyptic number.

100122311023332 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 100122311023332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130502365684992).

100122311023332 is an abundant number, since it is smaller than the sum of its proper divisors (160882420346652).

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

100122311023332 is a wasteful number, since it uses less digits than its factorization.

100122311023332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37878 (or 37876 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 100122311023332 its reverse (233320113221001), we get a palindrome (333442424244333).

The spelling of 100122311023332 in words is "one hundred trillion, one hundred twenty-two billion, three hundred eleven million, twenty-three thousand, three hundred thirty-two".