21211110212112 has 240 divisors, whose sum is σ = 61429496593920. Its totient is φ = 6827088872448.

The previous prime is 21211110212087. The next prime is 21211110212137. The reversal of 21211110212112 is 21121201111212.

It is a happy number.

21211110212112 is a `hidden beast` number, since 21 + 211 + 110 + 212 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (21211110212087) and next prime (21211110212137).

It is a super-2 number, since 2×21211110212112² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 701805033 + ... + 701835255.

It is an arithmetic number, because the mean of its divisors is an integer number (255956235808).

Almost surely, 2^{21211110212112} 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 21211110212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30714748296960).

21211110212112 is an abundant number, since it is smaller than the sum of its proper divisors (40218386381808).

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

21211110212112 is a wasteful number, since it uses less digits than its factorization.

21211110212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31270 (or 31261 counting only the distinct ones).

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

Adding to 21211110212112 its reverse (21121201111212), we get a palindrome (42332311323324).

The spelling of 21211110212112 in words is "twenty-one trillion, two hundred eleven billion, one hundred ten million, two hundred twelve thousand, one hundred twelve".