21101112211011 has 16 divisors (see below), whose sum is σ = 32195672250624. Its totient is φ = 12042179718624.

The previous prime is 21101112210929. The next prime is 21101112211031. The reversal of 21101112211011 is 11011221110112.

It is not a de Polignac number, because 21101112211011 - 2¹¹ = 21101112208963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21101112211031) 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, 649928701 + ... + 649961166.

It is an arithmetic number, because the mean of its divisors is an integer number (2012229515664).

Almost surely, 2^{21101112211011} is an apocalyptic number.

21101112211011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21101112211011 is a deficient number, since it is larger than the sum of its proper divisors (11094560039613).

21101112211011 is a wasteful number, since it uses less digits than its factorization.

21101112211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299890650.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 21101112211011 its reverse (11011221110112), we get a palindrome (32112333321123).

The spelling of 21101112211011 in words is "twenty-one trillion, one hundred one billion, one hundred twelve million, two hundred eleven thousand, eleven".