100212322120300 has 144 divisors (see below), whose sum is σ = 235937033750880. Its totient is φ = 36725348874240.

The previous prime is 100212322120223. The next prime is 100212322120331. The reversal of 100212322120300 is 3021223212001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686044872 + ... + 686190928.

It is an arithmetic number, because the mean of its divisors is an integer number (1638451623270).

Almost surely, 2^{100212322120300} is an apocalyptic number.

100212322120300 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 100212322120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117968516875440).

100212322120300 is an abundant number, since it is smaller than the sum of its proper divisors (135724711630580).

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

100212322120300 is a wasteful number, since it uses less digits than its factorization.

100212322120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150020 (or 150013 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 100212322120300 its reverse (3021223212001), we get a palindrome (103233545332301).

The spelling of 100212322120300 in words is "one hundred trillion, two hundred twelve billion, three hundred twenty-two million, one hundred twenty thousand, three hundred".