2002200110101 has 2 divisors, whose sum is σ = 2002200110102. Its totient is φ = 2002200110100.

The previous prime is 2002200110081. The next prime is 2002200110129. The reversal of 2002200110101 is 1010110022002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1980003579876 + 22196530225 = 1407126^2 + 148985^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002200110101 - 2⁵ = 2002200110069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002200110171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001100055050 + 1001100055051.

It is an arithmetic number, because the mean of its divisors is an integer number (1001100055051).

Almost surely, 2^{2002200110101} is an apocalyptic number.

It is an amenable number.

2002200110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002200110101 is an equidigital number, since it uses as much as digits as its factorization.

2002200110101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2002200110101 its reverse (1010110022002), we get a palindrome (3012310132103).

The spelling of 2002200110101 in words is "two trillion, two billion, two hundred million, one hundred ten thousand, one hundred one".