21022100110011 has 64 divisors (see below), whose sum is σ = 37636307444736. Its totient is φ = 10079901273600.

The previous prime is 21022100109979. The next prime is 21022100110051. The reversal of 21022100110011 is 11001100122012.

It is not a de Polignac number, because 21022100110011 - 2⁵ = 21022100109979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21022100110051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50064145 + ... + 50482301.

It is an arithmetic number, because the mean of its divisors is an integer number (588067303824).

Almost surely, 2^{21022100110011} is an apocalyptic number.

21022100110011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21022100110011 is a deficient number, since it is larger than the sum of its proper divisors (16614207334725).

21022100110011 is a wasteful number, since it uses less digits than its factorization.

21022100110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434932.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21022100110011 its reverse (11001100122012), we get a palindrome (32023200232023).

The spelling of 21022100110011 in words is "twenty-one trillion, twenty-two billion, one hundred million, one hundred ten thousand, eleven".