100112022022122 has 320 divisors, whose sum is σ = 272678226163200. Its totient is φ = 27103906005120.

The previous prime is 100112022022097. The next prime is 100112022022193. The reversal of 100112022022122 is 221220220211001.

It is a happy number.

100112022022122 is a `hidden beast` number, since 100 + 1 + 120 + 220 + 221 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100112022022095 and 100112022022104.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 41035353 + ... + 43406499.

It is an arithmetic number, because the mean of its divisors is an integer number (852119456760).

Almost surely, 2^{100112022022122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100112022022122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136339113081600).

100112022022122 is an abundant number, since it is smaller than the sum of its proper divisors (172566204141078).

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

100112022022122 is a wasteful number, since it uses less digits than its factorization.

100112022022122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371263 (or 2371254 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100112022022122 its reverse (221220220211001), we get a palindrome (321332242233123).

The spelling of 100112022022122 in words is "one hundred trillion, one hundred twelve billion, twenty-two million, twenty-two thousand, one hundred twenty-two".