11102210010 has 192 divisors, whose sum is σ = 30586701600. Its totient is φ = 2790236160.

The previous prime is 11102210003. The next prime is 11102210011. The reversal of 11102210010 is 1001220111.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 577296729 + 10524913281 = 24027^2 + 102591^2 .

It is a super-2 number, since 2×11102210010² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11102209974 and 11102210001.

It is not an unprimeable number, because it can be changed into a prime (11102210011) 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, 31811316 + ... + 31811664.

Almost surely, 2^11102210010 is an apocalyptic number.

11102210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11102210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15293350800).

11102210010 is an abundant number, since it is smaller than the sum of its proper divisors (19484491590).

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

11102210010 is a wasteful number, since it uses less digits than its factorization.

11102210010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11102210010 its reverse (1001220111), we get a palindrome (12103430121).

The spelling of 11102210010 in words is "eleven billion, one hundred two million, two hundred ten thousand, ten".