201122112221100 has 288 divisors, whose sum is σ = 739848738316800. Its totient is φ = 45914080953600.

The previous prime is 201122112221089. The next prime is 201122112221153. The reversal of 201122112221100 is 1122211221102.

201122112221100 is a `hidden beast` number, since 20 + 112 + 211 + 2 + 221 + 100 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8767246 + ... + 21888554.

Almost surely, 2^{201122112221100} is an apocalyptic number.

201122112221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201122112221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369924369158400).

201122112221100 is an abundant number, since it is smaller than the sum of its proper divisors (538726626095700).

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

201122112221100 is a wasteful number, since it uses less digits than its factorization.

201122112221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13122150 (or 13122137 counting only the distinct ones).

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

Adding to 201122112221100 its reverse (1122211221102), we get a palindrome (202244323442202).

The spelling of 201122112221100 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred twelve million, two hundred twenty-one thousand, one hundred".