11000021212100 has 36 divisors (see below), whose sum is σ = 25274166388884. Its totient is φ = 4141184455680.

The previous prime is 11000021212073. The next prime is 11000021212127. The reversal of 11000021212100 is 121212000011.

It is an interprime number because it is at equal distance from previous prime (11000021212073) and next prime (11000021212127).

It can be written as a sum of positive squares in 6 ways, for example, as 223980706756 + 10776040505344 = 473266^2 + 3282688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3235298657 + ... + 3235302056.

It is an arithmetic number, because the mean of its divisors is an integer number (702060177469).

Almost surely, 2^{11000021212100} is an apocalyptic number.

11000021212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000021212100 is an abundant number, since it is smaller than the sum of its proper divisors (14274145176784).

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

11000021212100 is a wasteful number, since it uses less digits than its factorization.

11000021212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6470600744 (or 6470600737 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11000021212100 its reverse (121212000011), we get a palindrome (11121233212111).

The spelling of 11000021212100 in words is "eleven trillion, twenty-one million, two hundred twelve thousand, one hundred".