202200212021120 has 128 divisors (see below), whose sum is σ = 495275090345280. Its totient is φ = 78891411456000.

The previous prime is 202200212021099. The next prime is 202200212021189. The reversal of 202200212021120 is 21120212002202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 129136034 + ... + 130692446.

Almost surely, 2^{202200212021120} is an apocalyptic number.

202200212021120 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 202200212021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247637545172640).

202200212021120 is an abundant number, since it is smaller than the sum of its proper divisors (293074878324160).

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

202200212021120 is a wasteful number, since it uses less digits than its factorization.

202200212021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561424 (or 1561412 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 202200212021120 its reverse (21120212002202), we get a palindrome (223320424023322).

The spelling of 202200212021120 in words is "two hundred two trillion, two hundred billion, two hundred twelve million, twenty-one thousand, one hundred twenty".