11300100103220 has 192 divisors, whose sum is σ = 25150823792640. Its totient is φ = 4256203776000.

The previous prime is 11300100103213. The next prime is 11300100103231. The reversal of 11300100103220 is 2230100100311.

It is a junction number, because it is equal to n+sod(n) for n = 11300100103195 and 11300100103204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7058150420 + ... + 7058152020.

It is an arithmetic number, because the mean of its divisors is an integer number (130993873920).

Almost surely, 2^{11300100103220} is an apocalyptic number.

11300100103220 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 11300100103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12575411896320).

11300100103220 is an abundant number, since it is smaller than the sum of its proper divisors (13850723689420).

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

11300100103220 is a wasteful number, since it uses less digits than its factorization.

11300100103220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11300100103220 its reverse (2230100100311), we get a palindrome (13530200203531).

The spelling of 11300100103220 in words is "eleven trillion, three hundred billion, one hundred million, one hundred three thousand, two hundred twenty".