21202010133101 has 24 divisors (see below), whose sum is σ = 26114856792696. Its totient is φ = 17103817651200.

The previous prime is 21202010133037. The next prime is 21202010133113. The reversal of 21202010133101 is 10133101020212.

It can be written as a sum of positive squares in 4 ways, for example, as 6299522713225 + 14902487419876 = 2509885^2 + 3860374^2 .

It is not a de Polignac number, because 21202010133101 - 2⁶ = 21202010133037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 21202010133101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21202010133181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49852385 + ... + 50275881.

It is an arithmetic number, because the mean of its divisors is an integer number (1088119033029).

Almost surely, 2^{21202010133101} is an apocalyptic number.

It is an amenable number.

21202010133101 is a deficient number, since it is larger than the sum of its proper divisors (4912846659595).

21202010133101 is a wasteful number, since it uses less digits than its factorization.

21202010133101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483629 (or 483622 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 21202010133101 its reverse (10133101020212), we get a palindrome (31335111153313).

The spelling of 21202010133101 in words is "twenty-one trillion, two hundred two billion, ten million, one hundred thirty-three thousand, one hundred one".