100110100211112 has 64 divisors (see below), whose sum is σ = 255543459612480. Its totient is φ = 32670301993472.

The previous prime is 100110100211089. The next prime is 100110100211119. The reversal of 100110100211112 is 211112001011001.

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 (100110100211119) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 83670333 + ... + 84858380.

It is an arithmetic number, because the mean of its divisors is an integer number (3992866556445).

Almost surely, 2^{100110100211112} is an apocalyptic number.

100110100211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100110100211112 is an abundant number, since it is smaller than the sum of its proper divisors (155433359401368).

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

100110100211112 is a wasteful number, since it uses less digits than its factorization.

100110100211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168529242 (or 168529238 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100110100211112 its reverse (211112001011001), we get a palindrome (311222101222113).

The spelling of 100110100211112 in words is "one hundred trillion, one hundred ten billion, one hundred million, two hundred eleven thousand, one hundred twelve".