100021321312 has 192 divisors, whose sum is σ = 233558676288. Its totient is φ = 41656320000.

The previous prime is 100021321307. The next prime is 100021321313. The reversal of 100021321312 is 213123120001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021321313) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 36866068 + ... + 36868780.

It is an arithmetic number, because the mean of its divisors is an integer number (1216451439).

Almost surely, 2^100021321312 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 100021321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116779338144).

100021321312 is an abundant number, since it is smaller than the sum of its proper divisors (133537354976).

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

100021321312 is a wasteful number, since it uses less digits than its factorization.

100021321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100021321312 its reverse (213123120001), we get a palindrome (313144441313).

It can be divided in two parts, 1000 and 21321312, that added together give a palindrome (21322312).

The spelling of 100021321312 in words is "one hundred billion, twenty-one million, three hundred twenty-one thousand, three hundred twelve".