21002002200101 has 8 divisors (see below), whose sum is σ = 22644823762680. Its totient is φ = 19363078199232.

The previous prime is 21002002200089. The next prime is 21002002200139. The reversal of 21002002200101 is 10100220020012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2902304068225 + 18099698131876 = 1703615^2 + 4254374^2 .

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 21002002200101 - 2²⁶ = 21001935091237 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 (21002002200181) 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, 974379230 + ... + 974400783.

It is an arithmetic number, because the mean of its divisors is an integer number (2830602970335).

Almost surely, 2^{21002002200101} is an apocalyptic number.

It is an amenable number.

21002002200101 is a deficient number, since it is larger than the sum of its proper divisors (1642821562579).

21002002200101 is a wasteful number, since it uses less digits than its factorization.

21002002200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948780855.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21002002200101 its reverse (10100220020012), we get a palindrome (31102222220113).

The spelling of 21002002200101 in words is "twenty-one trillion, two billion, two million, two hundred thousand, one hundred one".