2211010200000 has 1008 divisors, whose sum is σ = 9096427791360. Its totient is φ = 502951680000.

The previous prime is 2211010199977. The next prime is 2211010200029. The reversal of 2211010200000 is 20101122.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×2211010200000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4775399769 + ... + 4775400231.

It is an arithmetic number, because the mean of its divisors is an integer number (9024233920).

Almost surely, 2^{2211010200000} is an apocalyptic number.

2211010200000 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 2211010200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548213895680).

2211010200000 is an abundant number, since it is smaller than the sum of its proper divisors (6885417591360).

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

2211010200000 is an equidigital number, since it uses as much as digits as its factorization.

2211010200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2211010200000 its reverse (20101122), we get a palindrome (2211030301122).

The spelling of 2211010200000 in words is "two trillion, two hundred eleven billion, ten million, two hundred thousand".