2211102213100 has 288 divisors, whose sum is σ = 5607743581440. Its totient is φ = 749083776000.

The previous prime is 2211102213097. The next prime is 2211102213107. The reversal of 2211102213100 is 13122011122.

It is a super-2 number, since 2×2211102213100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2211102213107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113841390 + ... + 113860810.

It is an arithmetic number, because the mean of its divisors is an integer number (19471331880).

Almost surely, 2^{2211102213100} is an apocalyptic number.

2211102213100 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 2211102213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803871790720).

2211102213100 is an abundant number, since it is smaller than the sum of its proper divisors (3396641368340).

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

2211102213100 is a wasteful number, since it uses less digits than its factorization.

2211102213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19601 (or 19594 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 2211102213100 its reverse (13122011122), we get a palindrome (2224224224222).

The spelling of 2211102213100 in words is "two trillion, two hundred eleven billion, one hundred two million, two hundred thirteen thousand, one hundred".