11000020200000 has 1008 divisors, whose sum is σ = 39934102178880. Its totient is φ = 2656281600000.

The previous prime is 11000020199981. The next prime is 11000020200017. The reversal of 11000020200000 is 202000011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29023799811 + ... + 29023800189.

It is an arithmetic number, because the mean of its divisors is an integer number (39617164860).

Almost surely, 2^{11000020200000} is an apocalyptic number.

11000020200000 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 11000020200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19967051089440).

11000020200000 is an abundant number, since it is smaller than the sum of its proper divisors (28934081978880).

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

11000020200000 is an frugal number, since it uses more digits than its factorization.

11000020200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 11000020200000 its reverse (202000011), we get a palindrome (11000222200011).

It can be divided in two parts, 1 and 1000020200000, that added together give a palindrome (1000020200001).

The spelling of 11000020200000 in words is "eleven trillion, twenty million, two hundred thousand".