211221212002110 has 128 divisors (see below), whose sum is σ = 566861536880640. Its totient is φ = 55965181364352.

The previous prime is 211221212002051. The next prime is 211221212002117. The reversal of 211221212002110 is 11200212122112.

211221212002110 is a `hidden beast` number, since 2 + 11 + 221 + 21 + 200 + 211 + 0 = 666.

It is a super-3 number, since 3×211221212002110³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211221212002117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2009530177 + ... + 2009635283.

It is an arithmetic number, because the mean of its divisors is an integer number (4428605756880).

Almost surely, 2^{211221212002110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211221212002110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283430768440320).

211221212002110 is an abundant number, since it is smaller than the sum of its proper divisors (355640324878530).

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

211221212002110 is a wasteful number, since it uses less digits than its factorization.

211221212002110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152687 (or 152681 counting only the distinct ones).

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

Adding to 211221212002110 its reverse (11200212122112), we get a palindrome (222421424124222).

The spelling of 211221212002110 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred twelve million, two thousand, one hundred ten".