100212202210120 has 512 divisors, whose sum is σ = 311917132800000. Its totient is φ = 28552299310080.

The previous prime is 100212202210009. The next prime is 100212202210151. The reversal of 100212202210120 is 21012202212001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100212202210094 and 100212202210103.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 201833931 + ... + 202329829.

It is an arithmetic number, because the mean of its divisors is an integer number (609213150000).

Almost surely, 2^{100212202210120} is an apocalyptic number.

100212202210120 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 100212202210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155958566400000).

100212202210120 is an abundant number, since it is smaller than the sum of its proper divisors (211704930589880).

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

100212202210120 is a wasteful number, since it uses less digits than its factorization.

100212202210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496058 (or 496040 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100212202210120 its reverse (21012202212001), we get a palindrome (121224404422121).

The spelling of 100212202210120 in words is "one hundred trillion, two hundred twelve billion, two hundred two million, two hundred ten thousand, one hundred twenty".