2211102202112 has 72 divisors (see below), whose sum is σ = 4534802902392. Its totient is φ = 1075208601600.

The previous prime is 2211102202103. The next prime is 2211102202121. The reversal of 2211102202112 is 2112022011122.

It is an interprime number because it is at equal distance from previous prime (2211102202103) and next prime (2211102202121).

It can be written as a sum of positive squares in 4 ways, for example, as 324061501696 + 1887040700416 = 569264^2 + 1373696^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22503812 + ... + 22601852.

Almost surely, 2^{2211102202112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211102202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267401451196).

2211102202112 is an abundant number, since it is smaller than the sum of its proper divisors (2323700700280).

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

2211102202112 is an equidigital number, since it uses as much as digits as its factorization.

2211102202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100475 (or 100461 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2211102202112 its reverse (2112022011122), we get a palindrome (4323124213234).

The spelling of 2211102202112 in words is "two trillion, two hundred eleven billion, one hundred two million, two hundred two thousand, one hundred twelve".