100011110112256 has 88 divisors (see below), whose sum is σ = 228502387939680. Its totient is φ = 42858680696832.

The previous prime is 100011110112163. The next prime is 100011110112257. The reversal of 100011110112256 is 652211011110001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011110112257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96027846 + ... + 97063738.

Almost surely, 2^{100011110112256} is an apocalyptic number.

100011110112256 is a gapful number since it is divisible by the number (16) 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 100011110112256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114251193969840).

100011110112256 is an abundant number, since it is smaller than the sum of its proper divisors (128491277827424).

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

100011110112256 is a wasteful number, since it uses less digits than its factorization.

100011110112256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049389 (or 1049371 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 22.

Adding to 100011110112256 its reverse (652211011110001), we get a palindrome (752222121222257).

The spelling of 100011110112256 in words is "one hundred trillion, eleven billion, one hundred ten million, one hundred twelve thousand, two hundred fifty-six".