21200101220011 has 64 divisors (see below), whose sum is σ = 25405367603200. Its totient is φ = 17677105528320.

The previous prime is 21200101219963. The next prime is 21200101220047. The reversal of 21200101220011 is 11002210100212.

It is not a de Polignac number, because 21200101220011 - 2⁹ = 21200101219499 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21200101219973 and 21200101220000.

It is not an unprimeable number, because it can be changed into a prime (21200101223011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1773615811 + ... + 1773627763.

It is an arithmetic number, because the mean of its divisors is an integer number (396958868800).

Almost surely, 2^{21200101220011} is an apocalyptic number.

21200101220011 is a deficient number, since it is larger than the sum of its proper divisors (4205266383189).

21200101220011 is a wasteful number, since it uses less digits than its factorization.

21200101220011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12961 (or 12947 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21200101220011 its reverse (11002210100212), we get a palindrome (32202311320223).

The spelling of 21200101220011 in words is "twenty-one trillion, two hundred billion, one hundred one million, two hundred twenty thousand, eleven".