11210221012000 has 96 divisors (see below), whose sum is σ = 28063202482224. Its totient is φ = 4399482880000.

The previous prime is 11210221011967. The next prime is 11210221012033. The reversal of 11210221012000 is 21012201211.

It is an interprime number because it is at equal distance from previous prime (11210221011967) and next prime (11210221012033).

It can be written as a sum of positive squares in 8 ways, for example, as 286692624 + 11209934319376 = 16932^2 + 3348124^2 .

It is a super-3 number, since 3×11210221012000³ (a number of 40 digits) contains 333 as substring.

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, 26227201 + ... + 26651200.

Almost surely, 2^{11210221012000} is an apocalyptic number.

11210221012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11210221012000 is an abundant number, since it is smaller than the sum of its proper divisors (16852981470224).

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

11210221012000 is an equidigital number, since it uses as much as digits as its factorization.

11210221012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52878479 (or 52878461 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11210221012000 its reverse (21012201211), we get a palindrome (11231233213211).

The spelling of 11210221012000 in words is "eleven trillion, two hundred ten billion, two hundred twenty-one million, twelve thousand".