11102131321101 has 48 divisors (see below), whose sum is σ = 17186823428736. Its totient is φ = 6887911966848.

The previous prime is 11102131321097. The next prime is 11102131321103. The reversal of 11102131321101 is 10112313120111.

11102131321101 is a `hidden beast` number, since 1 + 110 + 2 + 131 + 321 + 101 = 666.

It is not a de Polignac number, because 11102131321101 - 2² = 11102131321097 is a prime.

It is a congruent number.

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

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 47 ways as a sum of consecutive naturals, for example, 246620271 + ... + 246665283.

It is an arithmetic number, because the mean of its divisors is an integer number (358058821432).

Almost surely, 2^{11102131321101} is an apocalyptic number.

It is an amenable number.

11102131321101 is a deficient number, since it is larger than the sum of its proper divisors (6084692107635).

11102131321101 is a wasteful number, since it uses less digits than its factorization.

11102131321101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77282 (or 77279 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 11102131321101 its reverse (10112313120111), we get a palindrome (21214444441212).

The spelling of 11102131321101 in words is "eleven trillion, one hundred two billion, one hundred thirty-one million, three hundred twenty-one thousand, one hundred one".