211220102010112 has 288 divisors, whose sum is σ = 466049342734976. Its totient is φ = 94923834163200.

The previous prime is 211220102010091. The next prime is 211220102010121. The reversal of 211220102010112 is 211010201022112.

It is a super-2 number, since 2×211220102010112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121321137562 + ... + 121321139302.

Almost surely, 2^{211220102010112} 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 211220102010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233024671367488).

211220102010112 is an abundant number, since it is smaller than the sum of its proper divisors (254829240724864).

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

211220102010112 is a wasteful number, since it uses less digits than its factorization.

211220102010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211220102010112 its reverse (211010201022112), we get a palindrome (422230303032224).

The spelling of 211220102010112 in words is "two hundred eleven trillion, two hundred twenty billion, one hundred two million, ten thousand, one hundred twelve".