211121100112 has 60 divisors (see below), whose sum is σ = 464917574100. Its totient is φ = 92312027136.

The previous prime is 211121100061. The next prime is 211121100191. The reversal of 211121100112 is 211001121112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 98329907776 + 112791192336 = 313576^2 + 335844^2 .

It is a super-2 number, since 2×211121100112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 211121100092 and 211121100101.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1330737 + ... + 1480912.

It is an arithmetic number, because the mean of its divisors is an integer number (7748626235).

Almost surely, 2^211121100112 is an apocalyptic number.

It is an amenable number.

211121100112 is an abundant number, since it is smaller than the sum of its proper divisors (253796473988).

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

211121100112 is a wasteful number, since it uses less digits than its factorization.

211121100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811708 (or 2811683 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 211121100112 its reverse (211001121112), we get a palindrome (422122221224).

The spelling of 211121100112 in words is "two hundred eleven billion, one hundred twenty-one million, one hundred thousand, one hundred twelve".