210100101212221 has 16 divisors (see below), whose sum is σ = 239552958930048. Its totient is φ = 182399636742400.

The previous prime is 210100101212201. The next prime is 210100101212249. The reversal of 210100101212221 is 122212101001012.

It is not a de Polignac number, because 210100101212221 - 2¹⁵ = 210100101179453 is a prime.

It is a super-2 number, since 2×210100101212221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 210100101212195 and 210100101212204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210100101212201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 672805960 + ... + 673118161.

It is an arithmetic number, because the mean of its divisors is an integer number (14972059933128).

Almost surely, 2^{210100101212221} is an apocalyptic number.

It is an amenable number.

210100101212221 is a deficient number, since it is larger than the sum of its proper divisors (29452857717827).

210100101212221 is a wasteful number, since it uses less digits than its factorization.

210100101212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345924772.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 210100101212221 its reverse (122212101001012), we get a palindrome (332312202213233).

It can be divided in two parts, 2101001012 and 12221, that multiplied together give a palindrome (25676333367652).

The spelling of 210100101212221 in words is "two hundred ten trillion, one hundred billion, one hundred one million, two hundred twelve thousand, two hundred twenty-one".