100112121010220 has 96 divisors (see below), whose sum is σ = 230558372352000. Its totient is φ = 36212264524800.

The previous prime is 100112121010207. The next prime is 100112121010267. The reversal of 100112121010220 is 22010121211001.

It is a junction number, because it is equal to n+sod(n) for n = 100112121010195 and 100112121010204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1543740356 + ... + 1543805204.

It is an arithmetic number, because the mean of its divisors is an integer number (2401649712000).

Almost surely, 2^{100112121010220} is an apocalyptic number.

100112121010220 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 100112121010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115279186176000).

100112121010220 is an abundant number, since it is smaller than the sum of its proper divisors (130446251341780).

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

100112121010220 is a wasteful number, since it uses less digits than its factorization.

100112121010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101799 (or 101797 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100112121010220 its reverse (22010121211001), we get a palindrome (122122242221221).

The spelling of 100112121010220 in words is "one hundred trillion, one hundred twelve billion, one hundred twenty-one million, ten thousand, two hundred twenty".