201022122221100 has 216 divisors, whose sum is σ = 647143529017440. Its totient is φ = 52155372579840.

The previous prime is 201022122220991. The next prime is 201022122221143. The reversal of 201022122221100 is 1122221220102.

It is a happy number.

201022122221100 is a `hidden beast` number, since 2 + 0 + 10 + 221 + 222 + 211 + 0 + 0 = 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 71 ways as a sum of consecutive naturals, for example, 1244306929 + ... + 1244468471.

Almost surely, 2^{201022122221100} is an apocalyptic number.

201022122221100 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 201022122221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323571764508720).

201022122221100 is an abundant number, since it is smaller than the sum of its proper divisors (446121406796340).

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

201022122221100 is a wasteful number, since it uses less digits than its factorization.

201022122221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198969 (or 198959 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201022122221100 its reverse (1122221220102), we get a palindrome (202144343441202).

The spelling of 201022122221100 in words is "two hundred one trillion, twenty-two billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred".