2211001100000 has 576 divisors, whose sum is σ = 6852890386944. Its totient is φ = 682080000000.

The previous prime is 2211001099987. The next prime is 2211001100017. The reversal of 2211001100000 is 11001122.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a zygodrome in base 10.

It is a congruent number.

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, 777698579 + ... + 777701421.

It is an arithmetic number, because the mean of its divisors is an integer number (11897379144).

Almost surely, 2^{2211001100000} is an apocalyptic number.

2211001100000 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 2211001100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426445193472).

2211001100000 is an abundant number, since it is smaller than the sum of its proper divisors (4641889286944).

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

2211001100000 is a wasteful number, since it uses less digits than its factorization.

2211001100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2211001100000 its reverse (11001122), we get a palindrome (2211012101122).

The spelling of 2211001100000 in words is "two trillion, two hundred eleven billion, one million, one hundred thousand".