21100011012011 has 16 divisors (see below), whose sum is σ = 22414757164800. Its totient is φ = 19805694199200.

The previous prime is 21100011011977. The next prime is 21100011012079. The reversal of 21100011012011 is 11021011000112.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21100011012011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21100011011983 and 21100011012001.

It is not an unprimeable number, because it can be changed into a prime (21100011012811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171440066 + ... + 171563096.

It is an arithmetic number, because the mean of its divisors is an integer number (1400922322800).

Almost surely, 2^{21100011012011} is an apocalyptic number.

21100011012011 is a deficient number, since it is larger than the sum of its proper divisors (1314746152789).

21100011012011 is a wasteful number, since it uses less digits than its factorization.

21100011012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205970.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 21100011012011 its reverse (11021011000112), we get a palindrome (32121022012123).

The spelling of 21100011012011 in words is "twenty-one trillion, one hundred billion, eleven million, twelve thousand, eleven".