11221122102102 has 288 divisors, whose sum is σ = 28623293637120. Its totient is φ = 3149649546240.

The previous prime is 11221122102101. The next prime is 11221122102107. The reversal of 11221122102102 is 20120122112211.

11221122102102 is a `hidden beast` number, since 11 + 221 + 1 + 221 + 0 + 210 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221122102101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1277591203 + ... + 1277599985.

It is an arithmetic number, because the mean of its divisors is an integer number (99386436240).

Almost surely, 2^{11221122102102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11221122102102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14311646818560).

11221122102102 is an abundant number, since it is smaller than the sum of its proper divisors (17402171535018).

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

11221122102102 is a wasteful number, since it uses less digits than its factorization.

11221122102102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9188 (or 9168 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11221122102102 its reverse (20120122112211), we get a palindrome (31341244214313).

The spelling of 11221122102102 in words is "eleven trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred two thousand, one hundred two".