21112100010120 has 768 divisors, whose sum is σ = 75365632742400. Its totient is φ = 4716534251520.

The previous prime is 21112100010103. The next prime is 21112100010163. The reversal of 21112100010120 is 2101000121112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21112100010096 and 21112100010105.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24634888732 + ... + 24634889588.

It is an arithmetic number, because the mean of its divisors is an integer number (98132334300).

Almost surely, 2^{21112100010120} is an apocalyptic number.

21112100010120 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 21112100010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37682816371200).

21112100010120 is an abundant number, since it is smaller than the sum of its proper divisors (54253532732280).

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

21112100010120 is a wasteful number, since it uses less digits than its factorization.

21112100010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21112100010120 its reverse (2101000121112), we get a palindrome (23213100131232).

The spelling of 21112100010120 in words is "twenty-one trillion, one hundred twelve billion, one hundred million, ten thousand, one hundred twenty".