11102121311310 has 192 divisors, whose sum is σ = 29467353165120. Its totient is φ = 2899282176000.

The previous prime is 11102121311257. The next prime is 11102121311311. The reversal of 11102121311310 is 1311312120111.

11102121311310 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 21 + 21 + 311 + 310 = 666.

It is a super-2 number, since 2×11102121311310² (a number of 27 digits) contains 22 as substring.

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 (11102121311311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2636455105 + ... + 2636459315.

It is an arithmetic number, because the mean of its divisors is an integer number (153475797735).

Almost surely, 2^{11102121311310} is an apocalyptic number.

11102121311310 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 11102121311310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14733676582560).

11102121311310 is an abundant number, since it is smaller than the sum of its proper divisors (18365231853810).

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

11102121311310 is a wasteful number, since it uses less digits than its factorization.

11102121311310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6275 (or 6272 counting only the distinct ones).

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

Adding to 11102121311310 its reverse (1311312120111), we get a palindrome (12413433431421).

The spelling of 11102121311310 in words is "eleven trillion, one hundred two billion, one hundred twenty-one million, three hundred eleven thousand, three hundred ten".