21112101101120 has 112 divisors (see below), whose sum is σ = 50445657239040. Its totient is φ = 8415882448896.

The previous prime is 21112101101107. The next prime is 21112101101129. The reversal of 21112101101120 is 2110110121112.

It is a junction number, because it is equal to n+sod(n) for n = 21112101101095 and 21112101101104.

It is not an unprimeable number, because it can be changed into a prime (21112101101129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471030071 + ... + 471074889.

It is an arithmetic number, because the mean of its divisors is an integer number (450407653920).

Almost surely, 2^{21112101101120} is an apocalyptic number.

21112101101120 is a gapful number since it is divisible by the number (20) 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 21112101101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25222828619520).

21112101101120 is an abundant number, since it is smaller than the sum of its proper divisors (29333556137920).

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

21112101101120 is a wasteful number, since it uses less digits than its factorization.

21112101101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49852 (or 49842 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 21112101101120 its reverse (2110110121112), we get a palindrome (23222211222232).

The spelling of 21112101101120 in words is "twenty-one trillion, one hundred twelve billion, one hundred one million, one hundred one thousand, one hundred twenty".