21102112120212 has 384 divisors, whose sum is σ = 57934979827200. Its totient is φ = 6632865792000.

The previous prime is 21102112120189. The next prime is 21102112120213. The reversal of 21102112120212 is 21202121120112.

21102112120212 is a `hidden beast` number, since 21 + 10 + 211 + 212 + 0 + 212 = 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 (21102112120213) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20078127087 + ... + 20078128137.

It is an arithmetic number, because the mean of its divisors is an integer number (150872343300).

Almost surely, 2^{21102112120212} 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 21102112120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28967489913600).

21102112120212 is an abundant number, since it is smaller than the sum of its proper divisors (36832867706988).

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

21102112120212 is a wasteful number, since it uses less digits than its factorization.

21102112120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1936 counting only the distinct ones).

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

Adding to 21102112120212 its reverse (21202121120112), we get a palindrome (42304233240324).

The spelling of 21102112120212 in words is "twenty-one trillion, one hundred two billion, one hundred twelve million, one hundred twenty thousand, two hundred twelve".