211131202122 has 72 divisors (see below), whose sum is σ = 475436133900. Its totient is φ = 67704899328.

The previous prime is 211131202097. The next prime is 211131202141. The reversal of 211131202122 is 221202131112.

211131202122 is a `hidden beast` number, since 211 + 131 + 202 + 122 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 206698438881 + 4432763241 = 454641^2 + 66579^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 211131202095 and 211131202104.

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 35 ways as a sum of consecutive naturals, for example, 2145004 + ... + 2241272.

Almost surely, 2^211131202122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211131202122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237718066950).

211131202122 is an abundant number, since it is smaller than the sum of its proper divisors (264304931778).

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

211131202122 is a wasteful number, since it uses less digits than its factorization.

211131202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96440 (or 96400 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211131202122 its reverse (221202131112), we get a palindrome (432333333234).

The spelling of 211131202122 in words is "two hundred eleven billion, one hundred thirty-one million, two hundred two thousand, one hundred twenty-two".