100110211201112 has 128 divisors (see below), whose sum is σ = 219052682640000. Its totient is φ = 42010146201600.

The previous prime is 100110211201027. The next prime is 100110211201171. The reversal of 100110211201112 is 211102112011001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 192729008 + ... + 193247744.

It is an arithmetic number, because the mean of its divisors is an integer number (1711349083125).

Almost surely, 2^{100110211201112} 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 100110211201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109526341320000).

100110211201112 is an abundant number, since it is smaller than the sum of its proper divisors (118942471438888).

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

100110211201112 is a wasteful number, since it uses less digits than its factorization.

100110211201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519229 (or 519225 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100110211201112 its reverse (211102112011001), we get a palindrome (311212323212113).

The spelling of 100110211201112 in words is "one hundred trillion, one hundred ten billion, two hundred eleven million, two hundred one thousand, one hundred twelve".