11102313210210 has 192 divisors, whose sum is σ = 29670129156096. Its totient is φ = 2878778448000.

The previous prime is 11102313210151. The next prime is 11102313210281. The reversal of 11102313210210 is 1201231320111.

11102313210210 is a `hidden beast` number, since 1 + 1 + 10 + 231 + 3 + 210 + 210 = 666.

11102313210210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11102313210210³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1985744515 + ... + 1985750105.

It is an arithmetic number, because the mean of its divisors is an integer number (154531922688).

Almost surely, 2^{11102313210210} is an apocalyptic number.

11102313210210 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 11102313210210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14835064578048).

11102313210210 is an abundant number, since it is smaller than the sum of its proper divisors (18567815945886).

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

11102313210210 is a wasteful number, since it uses less digits than its factorization.

11102313210210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7861 (or 7858 counting only the distinct ones).

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

Adding to 11102313210210 its reverse (1201231320111), we get a palindrome (12303544530321).

The spelling of 11102313210210 in words is "eleven trillion, one hundred two billion, three hundred thirteen million, two hundred ten thousand, two hundred ten".