21112120202112 has 256 divisors, whose sum is σ = 65815909632000. Its totient is φ = 6651979407360.

The previous prime is 21112120202099. The next prime is 21112120202113. The reversal of 21112120202112 is 21120202121112.

21112120202112 is a `hidden beast` number, since 211 + 121 + 20 + 202 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112120202113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2315464 + ... + 6898232.

It is an arithmetic number, because the mean of its divisors is an integer number (257093397000).

Almost surely, 2^{21112120202112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21112120202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32907954816000).

21112120202112 is an abundant number, since it is smaller than the sum of its proper divisors (44703789429888).

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

21112120202112 is a wasteful number, since it uses less digits than its factorization.

21112120202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4582866 (or 4582848 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21112120202112 its reverse (21120202121112), we get a palindrome (42232322323224).

The spelling of 21112120202112 in words is "twenty-one trillion, one hundred twelve billion, one hundred twenty million, two hundred two thousand, one hundred twelve".