201200100022120 has 32 divisors (see below), whose sum is σ = 462332144736000. Its totient is φ = 78767698731328.

The previous prime is 201200100022099. The next prime is 201200100022189. The reversal of 201200100022120 is 21220001002102.

It is a happy number.

It is a super-2 number, since 2×201200100022120² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 201200100022120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53510663020 + ... + 53510666779.

It is an arithmetic number, because the mean of its divisors is an integer number (14447879523000).

Almost surely, 2^{201200100022120} is an apocalyptic number.

201200100022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201200100022120 is an abundant number, since it is smaller than the sum of its proper divisors (261132044713880).

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

201200100022120 is a wasteful number, since it uses less digits than its factorization.

201200100022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107021329857 (or 107021329853 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 201200100022120 its reverse (21220001002102), we get a palindrome (222420101024222).

The spelling of 201200100022120 in words is "two hundred one trillion, two hundred billion, one hundred million, twenty-two thousand, one hundred twenty".