21102100120112 has 80 divisors (see below), whose sum is σ = 44911033679520. Its totient is φ = 9525668505600.

The previous prime is 21102100120109. The next prime is 21102100120117.

21102100120112 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (21102100120117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14106662 + ... + 15530682.

It is an arithmetic number, because the mean of its divisors is an integer number (561387920994).

Almost surely, 2^{21102100120112} is an apocalyptic number.

21102100120112 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 21102100120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22455516839760).

21102100120112 is an abundant number, since it is smaller than the sum of its proper divisors (23808933559408).

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

21102100120112 is a wasteful number, since it uses less digits than its factorization.

21102100120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424622 (or 1424616 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 21102100 and 120112, that added together give a palindrome (21222212).

The spelling of 21102100120112 in words is "twenty-one trillion, one hundred two billion, one hundred million, one hundred twenty thousand, one hundred twelve".