21101000010112 has 256 divisors, whose sum is σ = 47951819596800. Its totient is φ = 9164482560000.

The previous prime is 21101000010067. The next prime is 21101000010137.

21101000010112 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 923001562 + ... + 923024422.

It is an arithmetic number, because the mean of its divisors is an integer number (187311795300).

Almost surely, 2^{21101000010112} is an apocalyptic number.

21101000010112 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 21101000010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23975909798400).

21101000010112 is an abundant number, since it is smaller than the sum of its proper divisors (26850819586688).

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

21101000010112 is a wasteful number, since it uses less digits than its factorization.

21101000010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23257 (or 23245 counting only the distinct ones).

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

It can be divided in two parts, 211010000 and 10112, that added together give a palindrome (211020112).

The spelling of 21101000010112 in words is "twenty-one trillion, one hundred one billion, ten thousand, one hundred twelve".