100200022100112 has 160 divisors (see below), whose sum is σ = 287668668026880. Its totient is φ = 29799774351360.

The previous prime is 100200022100111. The next prime is 100200022100141. The reversal of 100200022100112 is 211001220002001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100200022100111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226273 + ... + 14158080.

It is an arithmetic number, because the mean of its divisors is an integer number (1797929175168).

Almost surely, 2^{100200022100112} is an apocalyptic number.

100200022100112 is a gapful number since it is divisible by the number (12) 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 100200022100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143834334013440).

100200022100112 is an abundant number, since it is smaller than the sum of its proper divisors (187468645926768).

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

100200022100112 is a wasteful number, since it uses less digits than its factorization.

100200022100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14384621 (or 14384615 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100200022100112 its reverse (211001220002001), we get a palindrome (311201242102113).

The spelling of 100200022100112 in words is "one hundred trillion, two hundred billion, twenty-two million, one hundred thousand, one hundred twelve".