100022140332300 has 576 divisors, whose sum is σ = 309242041242624. Its totient is φ = 24907461427200.

The previous prime is 100022140332223. The next prime is 100022140332337. The reversal of 100022140332300 is 3233041220001.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58940565052 + ... + 58940566748.

It is an arithmetic number, because the mean of its divisors is an integer number (536878543824).

Almost surely, 2^{100022140332300} is an apocalyptic number.

100022140332300 is a gapful number since it is divisible by the number (10) 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 100022140332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154621020621312).

100022140332300 is an abundant number, since it is smaller than the sum of its proper divisors (209219900910324).

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

100022140332300 is a wasteful number, since it uses less digits than its factorization.

100022140332300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 100022140332300 its reverse (3233041220001), we get a palindrome (103255181552301).

The spelling of 100022140332300 in words is "one hundred trillion, twenty-two billion, one hundred forty million, three hundred thirty-two thousand, three hundred".