100100112000112 has 20 divisors (see below), whose sum is σ = 221650248000496. Its totient is φ = 42900048000000.

The previous prime is 100100112000107. The next prime is 100100112000121. The reversal of 100100112000112 is 211000211001001.

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 3 ways as a sum of consecutive naturals, for example, 446875499889 + ... + 446875500112.

Almost surely, 2^{100100112000112} is an apocalyptic number.

It is an amenable number.

100100112000112 is an abundant number, since it is smaller than the sum of its proper divisors (121550136000384).

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

100100112000112 is an equidigital number, since it uses as much as digits as its factorization.

100100112000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893751000016 (or 893751000010 counting only the distinct ones).

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

Adding to 100100112000112 its reverse (211000211001001), we get a palindrome (311100323001113).

The spelling of 100100112000112 in words is "one hundred trillion, one hundred billion, one hundred twelve million, one hundred twelve", and thus it is an aban number.