201122221112100 has 180 divisors, whose sum is σ = 651979776548100. Its totient is φ = 53630865469440.

The previous prime is 201122221112093. The next prime is 201122221112149. The reversal of 201122221112100 is 1211122221102.

201122221112100 is a `hidden beast` number, since 20 + 1 + 1 + 222 + 211 + 1 + 210 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 49683551406336 + 151438669705764 = 7048656^2 + 12306042^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 59 ways as a sum of consecutive naturals, for example, 261805356 + ... + 262572444.

Almost surely, 2^{201122221112100} is an apocalyptic number.

201122221112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122221112100 is an abundant number, since it is smaller than the sum of its proper divisors (450857555436000).

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

201122221112100 is a wasteful number, since it uses less digits than its factorization.

201122221112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799484 (or 799468 counting only the distinct ones).

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

Adding to 201122221112100 its reverse (1211122221102), we get a palindrome (202333343333202).

The spelling of 201122221112100 in words is "two hundred one trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred twelve thousand, one hundred".