100202201222112 has 288 divisors, whose sum is σ = 322166409868800. Its totient is φ = 30276787242240.

The previous prime is 100202201222033. The next prime is 100202201222119. The reversal of 100202201222112 is 211222102202001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×100202201222112² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202201222119) 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 47 ways as a sum of consecutive naturals, for example, 34895689 + ... + 37657847.

It is an arithmetic number, because the mean of its divisors is an integer number (1118633367600).

Almost surely, 2^{100202201222112} is an apocalyptic number.

100202201222112 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 100202201222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161083204934400).

100202201222112 is an abundant number, since it is smaller than the sum of its proper divisors (221964208646688).

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

100202201222112 is a wasteful number, since it uses less digits than its factorization.

100202201222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762547 (or 2762522 counting only the distinct ones).

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

Adding to 100202201222112 its reverse (211222102202001), we get a palindrome (311424303424113).

The spelling of 100202201222112 in words is "one hundred trillion, two hundred two billion, two hundred one million, two hundred twenty-two thousand, one hundred twelve".