21212200100101 has 8 divisors (see below), whose sum is σ = 21413383055064. Its totient is φ = 21011688875520.

The previous prime is 21212200100057. The next prime is 21212200100107. The reversal of 21212200100101 is 10100100221212.

It can be written as a sum of positive squares in 4 ways, for example, as 527077452001 + 20685122648100 = 726001^2 + 4548090^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21212200100101 - 2⁹ = 21212200099589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212200100107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167869140 + ... + 167995453.

It is an arithmetic number, because the mean of its divisors is an integer number (2676672881883).

Almost surely, 2^{21212200100101} is an apocalyptic number.

It is an amenable number.

21212200100101 is a deficient number, since it is larger than the sum of its proper divisors (201182954963).

21212200100101 is a wasteful number, since it uses less digits than its factorization.

21212200100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335865191.

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

Adding to 21212200100101 its reverse (10100100221212), we get a palindrome (31312300321313).

The spelling of 21212200100101 in words is "twenty-one trillion, two hundred twelve billion, two hundred million, one hundred thousand, one hundred one".