211100201221122 has 24 divisors (see below), whose sum is σ = 458090699429376. Its totient is φ = 70257975260856.

The previous prime is 211100201221121. The next prime is 211100201221237. The reversal of 211100201221122 is 221122102001112.

211100201221122 is a `hidden beast` number, since 21 + 1 + 100 + 201 + 221 + 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 = 211100201221095 and 211100201221104.

It is not an unprimeable number, because it can be changed into a prime (211100201221121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9063194658 + ... + 9063217949.

It is an arithmetic number, because the mean of its divisors is an integer number (19087112476224).

Almost surely, 2^{211100201221122} is an apocalyptic number.

211100201221122 is an abundant number, since it is smaller than the sum of its proper divisors (246990498208254).

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

211100201221122 is a wasteful number, since it uses less digits than its factorization.

211100201221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18126413262 (or 18126413259 counting only the distinct ones).

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

Adding to 211100201221122 its reverse (221122102001112), we get a palindrome (432222303222234).

The spelling of 211100201221122 in words is "two hundred eleven trillion, one hundred billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty-two".