211010211121122 has 256 divisors, whose sum is σ = 568066245120000. Its totient is φ = 56677900649472.

The previous prime is 211010211121111. The next prime is 211010211121123. The reversal of 211010211121122 is 221121112010112.

It is a happy number.

211010211121122 is a `hidden beast` number, since 211 + 0 + 1 + 0 + 211 + 121 + 122 = 666.

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 = 211010211121095 and 211010211121104.

It is not an unprimeable number, because it can be changed into a prime (211010211121123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26545500004 + ... + 26545507952.

It is an arithmetic number, because the mean of its divisors is an integer number (2219008770000).

Almost surely, 2^{211010211121122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211010211121122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284033122560000).

211010211121122 is an abundant number, since it is smaller than the sum of its proper divisors (357056033998878).

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

211010211121122 is a wasteful number, since it uses less digits than its factorization.

211010211121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12150 (or 12144 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211010211121122 its reverse (221121112010112), we get a palindrome (432131323131234).

The spelling of 211010211121122 in words is "two hundred eleven trillion, ten billion, two hundred eleven million, one hundred twenty-one thousand, one hundred twenty-two".