2002120010101 has 2 divisors, whose sum is σ = 2002120010102. Its totient is φ = 2002120010100.

The previous prime is 2002120010021. The next prime is 2002120010123. The reversal of 2002120010101 is 1010100212002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1710147291076 + 291972719025 = 1307726^2 + 540345^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002120010101 - 2¹⁷ = 2002119879029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002120010801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001060005050 + 1001060005051.

It is an arithmetic number, because the mean of its divisors is an integer number (1001060005051).

Almost surely, 2^{2002120010101} is an apocalyptic number.

It is an amenable number.

2002120010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002120010101 is an equidigital number, since it uses as much as digits as its factorization.

2002120010101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2002120010101 its reverse (1010100212002), we get a palindrome (3012220222103).

The spelling of 2002120010101 in words is "two trillion, two billion, one hundred twenty million, ten thousand, one hundred one".