100100112112 has 160 divisors (see below), whose sum is σ = 266457945600. Its totient is φ = 35162588160.

The previous prime is 100100112097. The next prime is 100100112121. The reversal of 100100112112 is 211211001001.

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, 616014 + ... + 761362.

It is an arithmetic number, because the mean of its divisors is an integer number (1665362160).

Almost surely, 2^100100112112 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 100100112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133228972800).

100100112112 is an abundant number, since it is smaller than the sum of its proper divisors (166357833488).

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

100100112112 is a wasteful number, since it uses less digits than its factorization.

100100112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145431 (or 145425 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100100112112 its reverse (211211001001), we get a palindrome (311311113113).

Subtracting 100100112112 from its reverse (211211001001), we obtain a square (111110888889 = 333333²).

It can be divided in two parts, 100100 and 112112, that added together give a palindrome (212212).

The spelling of 100100112112 in words is "one hundred billion, one hundred million, one hundred twelve thousand, one hundred twelve".