100220212000120 has 128 divisors (see below), whose sum is σ = 237816113725440. Its totient is φ = 37962191877120.

The previous prime is 100220212000109. The next prime is 100220212000123. The reversal of 100220212000120 is 21000212022001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100220212000120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220212000123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7137139 + ... + 15854941.

It is an arithmetic number, because the mean of its divisors is an integer number (1857938388480).

Almost surely, 2^{100220212000120} is an apocalyptic number.

100220212000120 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 100220212000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118908056862720).

100220212000120 is an abundant number, since it is smaller than the sum of its proper divisors (137595901725320).

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

100220212000120 is a wasteful number, since it uses less digits than its factorization.

100220212000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8718045 (or 8718041 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100220212000120 its reverse (21000212022001), we get a palindrome (121220424022121).

The spelling of 100220212000120 in words is "one hundred trillion, two hundred twenty billion, two hundred twelve million, one hundred twenty", and thus it is an aban number.