211211102112 has 24 divisors (see below), whose sum is σ = 554429143296. Its totient is φ = 70403700672.

The previous prime is 211211102111. The next prime is 211211102119. The reversal of 211211102112 is 211201112112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×211211102112² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211211102091 and 211211102100.

It is not an unprimeable number, because it can be changed into a prime (211211102111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1100057728 + ... + 1100057919.

It is an arithmetic number, because the mean of its divisors is an integer number (23101214304).

Almost surely, 2^211211102112 is an apocalyptic number.

It is an amenable number.

211211102112 is an abundant number, since it is smaller than the sum of its proper divisors (343218041184).

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

211211102112 is a wasteful number, since it uses less digits than its factorization.

211211102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200115660 (or 2200115652 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211211102112 its reverse (211201112112), we get a palindrome (422412214224).

The spelling of 211211102112 in words is "two hundred eleven billion, two hundred eleven million, one hundred two thousand, one hundred twelve".