211202021212002 has 224 divisors, whose sum is σ = 481481497761264. Its totient is φ = 69443387596800.

The previous prime is 211202021211943. The next prime is 211202021212037. The reversal of 211202021212002 is 200212120202112.

It is a happy number.

211202021212002 is a `hidden beast` number, since 21 + 120 + 202 + 121 + 200 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 168975794866761 + 42226226345241 = 12999069^2 + 6498171^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 65570324752 + ... + 65570327972.

Almost surely, 2^{211202021212002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211202021212002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240740748880632).

211202021212002 is an abundant number, since it is smaller than the sum of its proper divisors (270279476549262).

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

211202021212002 is an equidigital number, since it uses as much as digits as its factorization.

211202021212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4736 (or 4721 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211202021212002 its reverse (200212120202112), we get a palindrome (411414141414114).

The spelling of 211202021212002 in words is "two hundred eleven trillion, two hundred two billion, twenty-one million, two hundred twelve thousand, two".