100112201221212 has 72 divisors (see below), whose sum is σ = 257894012493936. Its totient is φ = 32733748479744.

The previous prime is 100112201221199. The next prime is 100112201221231. The reversal of 100112201221212 is 212122102211001.

100112201221212 is a `hidden beast` number, since 1 + 0 + 0 + 11 + 220 + 1 + 221 + 212 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2617743 + ... + 14390169.

It is an arithmetic number, because the mean of its divisors is an integer number (3581861284638).

Almost surely, 2^{100112201221212} is an apocalyptic number.

100112201221212 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 100112201221212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128947006246968).

100112201221212 is an abundant number, since it is smaller than the sum of its proper divisors (157781811272724).

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

100112201221212 is a wasteful number, since it uses less digits than its factorization.

100112201221212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11776947 (or 11776942 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100112201221212 its reverse (212122102211001), we get a palindrome (312234303432213).

The spelling of 100112201221212 in words is "one hundred trillion, one hundred twelve billion, two hundred one million, two hundred twenty-one thousand, two hundred twelve".