21100000000112 has 80 divisors (see below), whose sum is σ = 45278747010432. Its totient is φ = 9444550536960.

The previous prime is 21100000000111. The next prime is 21100000000139.

21100000000112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 21100000000112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100000000111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34566383 + ... + 35171505.

Almost surely, 2^{21100000000112} is an apocalyptic number.

21100000000112 is a gapful number since it is divisible by the number (22) 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 21100000000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22639373505216).

21100000000112 is an abundant number, since it is smaller than the sum of its proper divisors (24178747010320).

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

21100000000112 is a wasteful number, since it uses less digits than its factorization.

21100000000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608166 (or 608160 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

It can be divided in two parts, 21100000000 and 112, that added together give a palindrome (21100000112).

The spelling of 21100000000112 in words is "twenty-one trillion, one hundred billion, one hundred twelve", and thus it is an aban number.