100120223322300 has 288 divisors, whose sum is σ = 299696142219264. Its totient is φ = 25779611520000.

The previous prime is 100120223322289. The next prime is 100120223322307. The reversal of 100120223322300 is 3223322021001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120223322307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9400071975 + ... + 9400082625.

It is an arithmetic number, because the mean of its divisors is an integer number (1040611604928).

Almost surely, 2^{100120223322300} is an apocalyptic number.

100120223322300 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 100120223322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149848071109632).

100120223322300 is an abundant number, since it is smaller than the sum of its proper divisors (199575918896964).

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

100120223322300 is a wasteful number, since it uses less digits than its factorization.

100120223322300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12869 (or 12862 counting only the distinct ones).

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

Adding to 100120223322300 its reverse (3223322021001), we get a palindrome (103343545343301).

The spelling of 100120223322300 in words is "one hundred trillion, one hundred twenty billion, two hundred twenty-three million, three hundred twenty-two thousand, three hundred".