100112021122100 has 36 divisors (see below), whose sum is σ = 233954092440684. Its totient is φ = 36964438567680.

The previous prime is 100112021122097. The next prime is 100112021122109. The reversal of 100112021122100 is 1221120211001.

It can be written as a sum of positive squares in 6 ways, for example, as 24891577809316 + 75220443312784 = 4989146^2 + 8672972^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112021122109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 38504622209 + ... + 38504624808.

It is an arithmetic number, because the mean of its divisors is an integer number (6498724790019).

Almost surely, 2^{100112021122100} is an apocalyptic number.

100112021122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112021122100 is an abundant number, since it is smaller than the sum of its proper divisors (133842071318584).

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

100112021122100 is a wasteful number, since it uses less digits than its factorization.

100112021122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77009247044 (or 77009247037 counting only the distinct ones).

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

Adding to 100112021122100 its reverse (1221120211001), we get a palindrome (101333141333101).

The spelling of 100112021122100 in words is "one hundred trillion, one hundred twelve billion, twenty-one million, one hundred twenty-two thousand, one hundred".