11102330010030 has 192 divisors, whose sum is σ = 31980345143040. Its totient is φ = 2457967680000.

The previous prime is 11102330010029. The next prime is 11102330010041. The reversal of 11102330010030 is 3001003320111.

It is a super-2 number, since 2×11102330010030² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 11102330009991 and 11102330010009.

It is a congruent number.

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, 7714905 + ... + 9040155.

It is an arithmetic number, because the mean of its divisors is an integer number (166564297620).

Almost surely, 2^{11102330010030} is an apocalyptic number.

11102330010030 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 11102330010030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15990172571520).

11102330010030 is an abundant number, since it is smaller than the sum of its proper divisors (20878015133010).

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

11102330010030 is a wasteful number, since it uses less digits than its factorization.

11102330010030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325455 (or 1325448 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11102330010030 its reverse (3001003320111), we get a palindrome (14103333330141).

The spelling of 11102330010030 in words is "eleven trillion, one hundred two billion, three hundred thirty million, ten thousand, thirty".