21100101011011 has 12 divisors (see below), whose sum is σ = 23359526793400. Its totient is φ = 19043910642240.

The previous prime is 21100101010991. The next prime is 21100101011029. The reversal of 21100101011011 is 11011010100112.

It is not a de Polignac number, because 21100101011011 - 2⁷ = 21100101010883 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21100101011111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 627252966 + ... + 627286603.

Almost surely, 2^{21100101011011} is an apocalyptic number.

21100101011011 is a deficient number, since it is larger than the sum of its proper divisors (2259425782389).

21100101011011 is a wasteful number, since it uses less digits than its factorization.

21100101011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254539730 (or 1254539719 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 21100101011011 its reverse (11011010100112), we get a palindrome (32111111111123).

The spelling of 21100101011011 in words is "twenty-one trillion, one hundred billion, one hundred one million, eleven thousand, eleven".