100112102212220 has 144 divisors (see below), whose sum is σ = 250450743644640. Its totient is φ = 33498616951296.

The previous prime is 100112102212183. The next prime is 100112102212259. The reversal of 100112102212220 is 22212201211001.

It is a congruent number.

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, 50823542 + ... + 52756578.

It is an arithmetic number, because the mean of its divisors is an integer number (1739241275310).

Almost surely, 2^{100112102212220} is an apocalyptic number.

100112102212220 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 100112102212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125225371822320).

100112102212220 is an abundant number, since it is smaller than the sum of its proper divisors (150338641432420).

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

100112102212220 is a wasteful number, since it uses less digits than its factorization.

100112102212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934332 (or 1934323 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100112102212220 its reverse (22212201211001), we get a palindrome (122324303423221).

The spelling of 100112102212220 in words is "one hundred trillion, one hundred twelve billion, one hundred two million, two hundred twelve thousand, two hundred twenty".