211211121002000 has 160 divisors (see below), whose sum is σ = 583701088239360. Its totient is φ = 72410993126400.

The previous prime is 211211121001997. The next prime is 211211121002113. The reversal of 211211121002000 is 200121112112.

It is a super-2 number, since 2×211211121002000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242984156 + ... + 243851844.

It is an arithmetic number, because the mean of its divisors is an integer number (3648131801496).

Almost surely, 2^{211211121002000} is an apocalyptic number.

211211121002000 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 211211121002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291850544119680).

211211121002000 is an abundant number, since it is smaller than the sum of its proper divisors (372489967237360).

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

211211121002000 is a wasteful number, since it uses less digits than its factorization.

211211121002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885106 (or 885090 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211211121002000 its reverse (200121112112), we get a palindrome (211411242114112).

The spelling of 211211121002000 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred twenty-one million, two thousand".