21111022112112 has 320 divisors, whose sum is σ = 63375146409600. Its totient is φ = 6719802163200.

The previous prime is 21111022112041. The next prime is 21111022112123. The reversal of 21111022112112 is 21121122011112.

It is a happy number.

21111022112112 is a `hidden beast` number, since 211 + 110 + 221 + 12 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1236216918 + ... + 1236233994.

It is an arithmetic number, because the mean of its divisors is an integer number (198047332530).

Almost surely, 2^{21111022112112} 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 21111022112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31687573204800).

21111022112112 is an abundant number, since it is smaller than the sum of its proper divisors (42264124297488).

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

21111022112112 is a wasteful number, since it uses less digits than its factorization.

21111022112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18201 (or 18189 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 21111022112112 its reverse (21121122011112), we get a palindrome (42232144123224).

The spelling of 21111022112112 in words is "twenty-one trillion, one hundred eleven billion, twenty-two million, one hundred twelve thousand, one hundred twelve".