211221102011200 has 168 divisors, whose sum is σ = 542384700425280. Its totient is φ = 80807346892800.

The previous prime is 211221102011159. The next prime is 211221102011323. The reversal of 211221102011200 is 2110201122112.

It is a super-2 number, since 2×211221102011200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394559715 + ... + 395094685.

Almost surely, 2^{211221102011200} is an apocalyptic number.

211221102011200 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 211221102011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271192350212640).

211221102011200 is an abundant number, since it is smaller than the sum of its proper divisors (331163598414080).

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

211221102011200 is a wasteful number, since it uses less digits than its factorization.

211221102011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545745 (or 545730 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211221102011200 its reverse (2110201122112), we get a palindrome (213331303133312).

It can be divided in two parts, 21 and 1221102011200, that added together give a palindrome (1221102011221).

The spelling of 211221102011200 in words is "two hundred eleven trillion, two hundred twenty-one billion, one hundred two million, eleven thousand, two hundred".