11000200011012 has 72 divisors (see below), whose sum is σ = 28332459746136. Its totient is φ = 3597326713344.

The previous prime is 11000200010971. The next prime is 11000200011067. The reversal of 11000200011012 is 21011000200011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 30100862016 + 10970099148996 = 173496^2 + 3312114^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11000200010985 and 11000200011003.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32145598 + ... + 32485994.

It is an arithmetic number, because the mean of its divisors is an integer number (393506385363).

Almost surely, 2^{11000200011012} is an apocalyptic number.

11000200011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11000200011012 is an abundant number, since it is smaller than the sum of its proper divisors (17332259735124).

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

11000200011012 is a wasteful number, since it uses less digits than its factorization.

11000200011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357397 (or 357392 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11000200011012 its reverse (21011000200011), we get a palindrome (32011200211023).

The spelling of 11000200011012 in words is "eleven trillion, two hundred million, eleven thousand, twelve".