211121012200000 has 336 divisors, whose sum is σ = 608263001676288. Its totient is φ = 71197689600000.

The previous prime is 211121012199961. The next prime is 211121012200039. The reversal of 211121012200000 is 2210121112.

It is an interprime number because it is at equal distance from previous prime (211121012199961) and next prime (211121012200039).

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 47 ways as a sum of consecutive naturals, for example, 84163929 + ... + 86636071.

It is an arithmetic number, because the mean of its divisors is an integer number (1810306552608).

Almost surely, 2^{211121012200000} is an apocalyptic number.

211121012200000 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 211121012200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304131500838144).

211121012200000 is an abundant number, since it is smaller than the sum of its proper divisors (397141989476288).

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

211121012200000 is an frugal number, since it uses more digits than its factorization.

211121012200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472248 (or 2472218 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211121012200000 its reverse (2210121112), we get a palindrome (211123222321112).

The spelling of 211121012200000 in words is "two hundred eleven trillion, one hundred twenty-one billion, twelve million, two hundred thousand".