11230102102100 has 288 divisors, whose sum is σ = 29709367478784. Its totient is φ = 3596783616000.

The previous prime is 11230102102097. The next prime is 11230102102103. The reversal of 11230102102100 is 120120103211.

It is an interprime number because it is at equal distance from previous prime (11230102102097) and next prime (11230102102103).

It is a super-2 number, since 2×11230102102100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11230102102103) 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, 3193089542 + ... + 3193093058.

It is an arithmetic number, because the mean of its divisors is an integer number (103157525968).

Almost surely, 2^{11230102102100} is an apocalyptic number.

11230102102100 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 11230102102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14854683739392).

11230102102100 is an abundant number, since it is smaller than the sum of its proper divisors (18479265376684).

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

11230102102100 is a wasteful number, since it uses less digits than its factorization.

11230102102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5483 (or 5476 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11230102102100 its reverse (120120103211), we get a palindrome (11350222205311).

The spelling of 11230102102100 in words is "eleven trillion, two hundred thirty billion, one hundred two million, one hundred two thousand, one hundred".