2211100211100 has 288 divisors, whose sum is σ = 7396796074752. Its totient is φ = 504000000000.

The previous prime is 2211100211041. The next prime is 2211100211129. The reversal of 2211100211100 is 11120011122.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 58942350 + ... + 58979850.

It is an arithmetic number, because the mean of its divisors is an integer number (25683319704).

Almost surely, 2^{2211100211100} is an apocalyptic number.

2211100211100 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 2211100211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698398037376).

2211100211100 is an abundant number, since it is smaller than the sum of its proper divisors (5185695863652).

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

2211100211100 is a wasteful number, since it uses less digits than its factorization.

2211100211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38597 (or 38590 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2211100211100 its reverse (11120011122), we get a palindrome (2222220222222).

The spelling of 2211100211100 in words is "two trillion, two hundred eleven billion, one hundred million, two hundred eleven thousand, one hundred".