11221100313102 has 96 divisors (see below), whose sum is σ = 25224286464000. Its totient is φ = 3601338096960.

The previous prime is 11221100313079. The next prime is 11221100313127. The reversal of 11221100313102 is 20131300112211.

11221100313102 is a `hidden beast` number, since 1 + 1 + 221 + 100 + 31 + 310 + 2 = 666.

11221100313102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110874799 + ... + 110975957.

It is an arithmetic number, because the mean of its divisors is an integer number (262752984000).

Almost surely, 2^{11221100313102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11221100313102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12612143232000).

11221100313102 is an abundant number, since it is smaller than the sum of its proper divisors (14003186150898).

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

11221100313102 is a wasteful number, since it uses less digits than its factorization.

11221100313102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102206 (or 102203 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11221100313102 its reverse (20131300112211), we get a palindrome (31352400425313).

The spelling of 11221100313102 in words is "eleven trillion, two hundred twenty-one billion, one hundred million, three hundred thirteen thousand, one hundred two".