211121020101222 has 256 divisors, whose sum is σ = 620136866764800. Its totient is φ = 51543816929280.

The previous prime is 211121020101203. The next prime is 211121020101259. The reversal of 211121020101222 is 222101020121112.

211121020101222 is a `hidden beast` number, since 2 + 111 + 210 + 20 + 101 + 222 = 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 = 211121020101195 and 211121020101204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52415568 + ... + 56299500.

It is an arithmetic number, because the mean of its divisors is an integer number (2422409635800).

Almost surely, 2^{211121020101222} is an apocalyptic number.

211121020101222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 211121020101222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310068433382400).

211121020101222 is an abundant number, since it is smaller than the sum of its proper divisors (409015846663578).

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

211121020101222 is a wasteful number, since it uses less digits than its factorization.

211121020101222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884748 (or 3884742 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211121020101222 its reverse (222101020121112), we get a palindrome (433222040222334).

The spelling of 211121020101222 in words is "two hundred eleven trillion, one hundred twenty-one billion, twenty million, one hundred one thousand, two hundred twenty-two".