100112221222100 has 18 divisors (see below), whose sum is σ = 217243520052174. Its totient is φ = 40044888488800.

The previous prime is 100112221222051. The next prime is 100112221222103. The reversal of 100112221222100 is 1222122211001.

It can be written as a sum of positive squares in 3 ways, for example, as 14829877517764 + 85282343704336 = 3850958^2 + 9234844^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112221222103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500561106011 + ... + 500561106210.

It is an arithmetic number, because the mean of its divisors is an integer number (12069084447343).

Almost surely, 2^{100112221222100} is an apocalyptic number.

100112221222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112221222100 is an abundant number, since it is smaller than the sum of its proper divisors (117131298830074).

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

100112221222100 is a wasteful number, since it uses less digits than its factorization.

100112221222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001122212235 (or 1001122212228 counting only the distinct ones).

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

Adding to 100112221222100 its reverse (1222122211001), we get a palindrome (101334343433101).

The spelling of 100112221222100 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred".