100100221212112 has 120 divisors (see below), whose sum is σ = 213586370613000. Its totient is φ = 45413041766400.

The previous prime is 100100221212067. The next prime is 100100221212113. The reversal of 100100221212112 is 211212122001001.

It can be written as a sum of positive squares in 4 ways, for example, as 3501673868176 + 96598547343936 = 1871276^2 + 9828456^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100221212113) 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 23 ways as a sum of consecutive naturals, for example, 7555297264 + ... + 7555310512.

It is an arithmetic number, because the mean of its divisors is an integer number (1779886421775).

Almost surely, 2^{100100221212112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100100221212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106793185306500).

100100221212112 is an abundant number, since it is smaller than the sum of its proper divisors (113486149400888).

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

100100221212112 is a wasteful number, since it uses less digits than its factorization.

100100221212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20453 (or 20436 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100100221212112 its reverse (211212122001001), we get a palindrome (311312343213113).

The spelling of 100100221212112 in words is "one hundred trillion, one hundred billion, two hundred twenty-one million, two hundred twelve thousand, one hundred twelve".