21211333101 has 36 divisors (see below), whose sum is σ = 36604104732. Its totient is φ = 11793164544.

The previous prime is 21211333057. The next prime is 21211333103. The reversal of 21211333101 is 10133311212.

21211333101 is a `hidden beast` number, since 21 + 211 + 333 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8498996100 + 12712337001 = 92190^2 + 112749^2 .

It is not a de Polignac number, because 21211333101 - 2¹⁸ = 21211070957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21211333103) 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 35 ways as a sum of consecutive naturals, for example, 633660 + ... + 666293.

It is an arithmetic number, because the mean of its divisors is an integer number (1016780687).

Almost surely, 2^21211333101 is an apocalyptic number.

21211333101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21211333101 is a deficient number, since it is larger than the sum of its proper divisors (15392771631).

21211333101 is a wasteful number, since it uses less digits than its factorization.

21211333101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300010 (or 1300000 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21211333101 its reverse (10133311212), we get a palindrome (31344644313).

The spelling of 21211333101 in words is "twenty-one billion, two hundred eleven million, three hundred thirty-three thousand, one hundred one".