211012221112 has 256 divisors, whose sum is σ = 510098964480. Its totient is φ = 79472448000.

The previous prime is 211012221103. The next prime is 211012221143. The reversal of 211012221112 is 211122210112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 929569143 + ... + 929569369.

It is an arithmetic number, because the mean of its divisors is an integer number (1992574080).

Almost surely, 2^211012221112 is an apocalyptic number.

211012221112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211012221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255049482240).

211012221112 is an abundant number, since it is smaller than the sum of its proper divisors (299086743368).

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

211012221112 is a wasteful number, since it uses less digits than its factorization.

211012221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 638 counting only the distinct ones).

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

Adding to 211012221112 its reverse (211122210112), we get a palindrome (422134431224).

The spelling of 211012221112 in words is "two hundred eleven billion, twelve million, two hundred twenty-one thousand, one hundred twelve".