2002002120101 has 2 divisors, whose sum is σ = 2002002120102. Its totient is φ = 2002002120100.

The previous prime is 2002002120091. The next prime is 2002002120119. The reversal of 2002002120101 is 1010212002002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1867939959076 + 134062161025 = 1366726^2 + 366145^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002002120101 - 2²² = 2001997925797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002002120401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001001060050 + 1001001060051.

It is an arithmetic number, because the mean of its divisors is an integer number (1001001060051).

Almost surely, 2^{2002002120101} is an apocalyptic number.

It is an amenable number.

2002002120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002002120101 is an equidigital number, since it uses as much as digits as its factorization.

2002002120101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2002002120101 its reverse (1010212002002), we get a palindrome (3012214122103).

The spelling of 2002002120101 in words is "two trillion, two billion, two million, one hundred twenty thousand, one hundred one".