100422402133312 has 112 divisors (see below), whose sum is σ = 233922236670720. Its totient is φ = 41870799839232.

The previous prime is 100422402133289. The next prime is 100422402133321. The reversal of 100422402133312 is 213331204224001.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 168661989 + ... + 169256347.

Almost surely, 2^{100422402133312} 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 100422402133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116961118335360).

100422402133312 is an abundant number, since it is smaller than the sum of its proper divisors (133499834537408).

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

100422402133312 is a wasteful number, since it uses less digits than its factorization.

100422402133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604608 (or 604598 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 100422402133312 its reverse (213331204224001), we get a palindrome (313753606357313).

The spelling of 100422402133312 in words is "one hundred trillion, four hundred twenty-two billion, four hundred two million, one hundred thirty-three thousand, three hundred twelve".