10211102221110 has 512 divisors, whose sum is σ = 31707044352000. Its totient is φ = 2048570818560.

The previous prime is 10211102221087. The next prime is 10211102221163. The reversal of 10211102221110 is 1112220111201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10211102221110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1142049240 + ... + 1142058180.

It is an arithmetic number, because the mean of its divisors is an integer number (61927821000).

Almost surely, 2^{10211102221110} is an apocalyptic number.

10211102221110 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 10211102221110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15853522176000).

10211102221110 is an abundant number, since it is smaller than the sum of its proper divisors (21495942130890).

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

10211102221110 is a wasteful number, since it uses less digits than its factorization.

10211102221110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9256.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10211102221110 its reverse (1112220111201), we get a palindrome (11323322332311).

The spelling of 10211102221110 in words is "ten trillion, two hundred eleven billion, one hundred two million, two hundred twenty-one thousand, one hundred ten".