11202200210320 has 80 divisors (see below), whose sum is σ = 29932136184960. Its totient is φ = 3819297595392.

The previous prime is 11202200210287. The next prime is 11202200210353. The reversal of 11202200210320 is 2301200220211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11202200210287) and next prime (11202200210353).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11202200210294 and 11202200210303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55776657 + ... + 55977136.

It is an arithmetic number, because the mean of its divisors is an integer number (374151702312).

Almost surely, 2^{11202200210320} is an apocalyptic number.

11202200210320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11202200210320 is an abundant number, since it is smaller than the sum of its proper divisors (18729935974640).

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

11202200210320 is a wasteful number, since it uses less digits than its factorization.

11202200210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111753992 (or 111753986 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11202200210320 its reverse (2301200220211), we get a palindrome (13503400430531).

The spelling of 11202200210320 in words is "eleven trillion, two hundred two billion, two hundred million, two hundred ten thousand, three hundred twenty".