201121012201200 has 480 divisors, whose sum is σ = 793410007842816. Its totient is φ = 42408768430080.

The previous prime is 201121012201199. The next prime is 201121012201201. The reversal of 201121012201200 is 2102210121102.

It is an interprime number because it is at equal distance from previous prime (201121012201199) and next prime (201121012201201).

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 201121012201200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201121012201201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 181045852 + ... + 182153348.

Almost surely, 2^{201121012201200} is an apocalyptic number.

201121012201200 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 201121012201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396705003921408).

201121012201200 is an abundant number, since it is smaller than the sum of its proper divisors (592288995641616).

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

201121012201200 is a wasteful number, since it uses less digits than its factorization.

201121012201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109201 (or 1109190 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201121012201200 its reverse (2102210121102), we get a palindrome (203223222322302).

The spelling of 201121012201200 in words is "two hundred one trillion, one hundred twenty-one billion, twelve million, two hundred one thousand, two hundred".