211221221011002 has 24 divisors (see below), whose sum is σ = 470014789098036. Its totient is φ = 68504179787136.

The previous prime is 211221221010971. The next prime is 211221221011069. The reversal of 211221221011002 is 200110122122112.

211221221011002 is a `hidden beast` number, since 211 + 221 + 221 + 0 + 1 + 10 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 165913231094361 + 45307989916641 = 12880731^2 + 6731121^2 .

It is a super-2 number, since 2×211221221011002² (a number of 29 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 158574489583 + ... + 158574490914.

Almost surely, 2^{211221221011002} is an apocalyptic number.

211221221011002 is an abundant number, since it is smaller than the sum of its proper divisors (258793568087034).

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

211221221011002 is a wasteful number, since it uses less digits than its factorization.

211221221011002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317148980542 (or 317148980539 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211221221011002 its reverse (200110122122112), we get a palindrome (411331343133114).

The spelling of 211221221011002 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred twenty-one million, eleven thousand, two".