201202012021200 has 120 divisors (see below), whose sum is σ = 644659816193568. Its totient is φ = 53641990218240.

The previous prime is 201202012021189. The next prime is 201202012021249. The reversal of 201202012021200 is 2120210202102.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201202012021200.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 13139302 + ... + 23980101.

Almost surely, 2^{201202012021200} is an apocalyptic number.

201202012021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201202012021200 is an abundant number, since it is smaller than the sum of its proper divisors (443457804172368).

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

201202012021200 is a wasteful number, since it uses less digits than its factorization.

201202012021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37123941 (or 37123930 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 201202012021200 its reverse (2120210202102), we get a palindrome (203322222223302).

The spelling of 201202012021200 in words is "two hundred one trillion, two hundred two billion, twelve million, twenty-one thousand, two hundred".