211202000002120 has 128 divisors (see below), whose sum is σ = 494429695920000. Its totient is φ = 81097132032000.

The previous prime is 211202000002087. The next prime is 211202000002121. The reversal of 211202000002120 is 21200000202112.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 211202000002120.

It is not an unprimeable number, because it can be changed into a prime (211202000002121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380094495 + ... + 380649745.

It is an arithmetic number, because the mean of its divisors is an integer number (3862731999375).

Almost surely, 2^{211202000002120} is an apocalyptic number.

211202000002120 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 211202000002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247214847960000).

211202000002120 is an abundant number, since it is smaller than the sum of its proper divisors (283227695917880).

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

211202000002120 is a wasteful number, since it uses less digits than its factorization.

211202000002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557183 (or 557179 counting only the distinct ones).

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

Adding to 211202000002120 its reverse (21200000202112), we get a palindrome (232402000204232).

The spelling of 211202000002120 in words is "two hundred eleven trillion, two hundred two billion, two thousand, one hundred twenty".