211202202002120 has 128 divisors (see below), whose sum is σ = 548262301363200. Its totient is φ = 71722962245376.

The previous prime is 211202202002093. The next prime is 211202202002131. The reversal of 211202202002120 is 21200202202112.

It is a happy number.

It is an unprimeable number.

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, 172528919 + ... + 173748761.

It is an arithmetic number, because the mean of its divisors is an integer number (4283299229400).

Almost surely, 2^{211202202002120} is an apocalyptic number.

211202202002120 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 211202202002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274131150681600).

211202202002120 is an abundant number, since it is smaller than the sum of its proper divisors (337060099361080).

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

211202202002120 is a wasteful number, since it uses less digits than its factorization.

211202202002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225747 (or 1225743 counting only the distinct ones).

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

Adding to 211202202002120 its reverse (21200202202112), we get a palindrome (232402404204232).

The spelling of 211202202002120 in words is "two hundred eleven trillion, two hundred two billion, two hundred two million, two thousand, one hundred twenty".