100120002112220 has 192 divisors, whose sum is σ = 226348678886400. Its totient is φ = 37087619143680.

The previous prime is 100120002112217. The next prime is 100120002112223. The reversal of 100120002112220 is 22211200021001.

It is an interprime number because it is at equal distance from previous prime (100120002112217) and next prime (100120002112223).

It is a super-2 number, since 2×100120002112220² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100120002112195 and 100120002112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120002112223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2898902792 + ... + 2898937328.

It is an arithmetic number, because the mean of its divisors is an integer number (1178899369200).

Almost surely, 2^{100120002112220} is an apocalyptic number.

100120002112220 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 100120002112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113174339443200).

100120002112220 is an abundant number, since it is smaller than the sum of its proper divisors (126228676774180).

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

100120002112220 is a wasteful number, since it uses less digits than its factorization.

100120002112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35548 (or 35546 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100120002112220 its reverse (22211200021001), we get a palindrome (122331202133221).

The spelling of 100120002112220 in words is "one hundred trillion, one hundred twenty billion, two million, one hundred twelve thousand, two hundred twenty".