10011102210 has 96 divisors (see below), whose sum is σ = 26786580912. Its totient is φ = 2592207360.

The previous prime is 10011102203. The next prime is 10011102253. The reversal of 10011102210 is 1220111001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8428892481 + 1582209729 = 91809^2 + 39777^2 .

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 = 10011102192 and 10011102201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1798752 + ... + 1804308.

Almost surely, 2^10011102210 is an apocalyptic number.

10011102210 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 10011102210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13393290456).

10011102210 is an abundant number, since it is smaller than the sum of its proper divisors (16775478702).

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

10011102210 is a wasteful number, since it uses less digits than its factorization.

10011102210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6148 (or 6145 counting only the distinct ones).

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

Adding to 10011102210 its reverse (1220111001), we get a palindrome (11231213211).

The spelling of 10011102210 in words is "ten billion, eleven million, one hundred two thousand, two hundred ten".