11012021200000 has 96 divisors (see below), whose sum is σ = 27420759685620. Its totient is φ = 4404808320000.

The previous prime is 11012021199917. The next prime is 11012021200027. The reversal of 11012021200000 is 212021011.

It can be written as a sum of positive squares in 6 ways, for example, as 2695349629504 + 8316671570496 = 1641752^2 + 2883864^2 .

It is a super-2 number, since 2×11012021200000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 11012021200000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13365027 + ... + 14165026.

Almost surely, 2^{11012021200000} is an apocalyptic number.

11012021200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11012021200000 is an abundant number, since it is smaller than the sum of its proper divisors (16408738485620).

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

11012021200000 is an frugal number, since it uses more digits than its factorization.

11012021200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27530092 (or 27530060 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11012021200000 its reverse (212021011), we get a palindrome (11012233221011).

The spelling of 11012021200000 in words is "eleven trillion, twelve billion, twenty-one million, two hundred thousand".