21101120120011 has 32 divisors (see below), whose sum is σ = 22027860576000. Its totient is φ = 20199446467200.

The previous prime is 21101120120009. The next prime is 21101120120027. The reversal of 21101120120011 is 11002102110112.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 21101120120011 - 2¹ = 21101120120009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21101120119973 and 21101120120000.

It is not an unprimeable number, because it can be changed into a prime (21101120120071) 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 31 ways as a sum of consecutive naturals, for example, 608944036 + ... + 608978686.

It is an arithmetic number, because the mean of its divisors is an integer number (688370643000).

Almost surely, 2^{21101120120011} is an apocalyptic number.

21101120120011 is a deficient number, since it is larger than the sum of its proper divisors (926740455989).

21101120120011 is a wasteful number, since it uses less digits than its factorization.

21101120120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36219.

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

Adding to 21101120120011 its reverse (11002102110112), we get a palindrome (32103222230123).

The spelling of 21101120120011 in words is "twenty-one trillion, one hundred one billion, one hundred twenty million, one hundred twenty thousand, eleven".