100021331222112 has 192 divisors, whose sum is σ = 272833237039104. Its totient is φ = 32049866833920.

The previous prime is 100021331221949. The next prime is 100021331222129. The reversal of 100021331222112 is 211222133120001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1657241728 + ... + 1657302080.

It is an arithmetic number, because the mean of its divisors is an integer number (1421006442912).

Almost surely, 2^{100021331222112} is an apocalyptic number.

100021331222112 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 100021331222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136416618519552).

100021331222112 is an abundant number, since it is smaller than the sum of its proper divisors (172811905816992).

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

100021331222112 is a wasteful number, since it uses less digits than its factorization.

100021331222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64101 (or 64093 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 100021331222112 its reverse (211222133120001), we get a palindrome (311243464342113).

The spelling of 100021331222112 in words is "one hundred trillion, twenty-one billion, three hundred thirty-one million, two hundred twenty-two thousand, one hundred twelve".