211211102200000 has 672 divisors, whose sum is σ = 657621059558400. Its totient is φ = 65620938240000.

The previous prime is 211211102199971. The next prime is 211211102200013. The reversal of 211211102200000 is 2201112112.

It is a super-2 number, since 2×211211102200000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 611627386 + ... + 611972614.

It is an arithmetic number, because the mean of its divisors is an integer number (978602767200).

Almost surely, 2^{211211102200000} is an apocalyptic number.

211211102200000 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 211211102200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328810529779200).

211211102200000 is an abundant number, since it is smaller than the sum of its proper divisors (446409957358400).

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

211211102200000 is an equidigital number, since it uses as much as digits as its factorization.

211211102200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345315 (or 345285 counting only the distinct ones).

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

Adding to 211211102200000 its reverse (2201112112), we get a palindrome (211213303312112).

The spelling of 211211102200000 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred two million, two hundred thousand".