11102131321100 has 144 divisors (see below), whose sum is σ = 25923463792128. Its totient is φ = 4111968706560.

The previous prime is 11102131321097. The next prime is 11102131321103. The reversal of 11102131321100 is 112313120111.

11102131321100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11102131321097) and next prime (11102131321103).

It is a super-3 number, since 3×11102131321100³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (11102131321103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49155029 + ... + 49380371.

It is an arithmetic number, because the mean of its divisors is an integer number (180024054112).

Almost surely, 2^{11102131321100} is an apocalyptic number.

11102131321100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11102131321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12961731896064).

11102131321100 is an abundant number, since it is smaller than the sum of its proper divisors (14821332471028).

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

11102131321100 is a wasteful number, since it uses less digits than its factorization.

11102131321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225844 (or 225837 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 11102131321100 its reverse (112313120111), we get a palindrome (11214444441211).

The spelling of 11102131321100 in words is "eleven trillion, one hundred two billion, one hundred thirty-one million, three hundred twenty-one thousand, one hundred".