21121011200011 has 8 divisors (see below), whose sum is σ = 21612976902000. Its totient is φ = 20629080925152.

The previous prime is 21121011199991. The next prime is 21121011200021. The reversal of 21121011200011 is 11000211012112.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21121011200011 - 2¹¹ = 21121011197963 is a prime.

It is a super-2 number, since 2×21121011200011² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21121011199964 and 21121011200000.

It is not an unprimeable number, because it can be changed into a prime (21121011200021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7648636 + ... + 10037113.

It is an arithmetic number, because the mean of its divisors is an integer number (2701622112750).

Almost surely, 2^{21121011200011} is an apocalyptic number.

21121011200011 is a deficient number, since it is larger than the sum of its proper divisors (491965701989).

21121011200011 is a wasteful number, since it uses less digits than its factorization.

21121011200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17713565.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 21121011200011 its reverse (11000211012112), we get a palindrome (32121222212123).

The spelling of 21121011200011 in words is "twenty-one trillion, one hundred twenty-one billion, eleven million, two hundred thousand, eleven".