2002120102101 has 16 divisors (see below), whose sum is σ = 3121799673344. Its totient is φ = 1117462382064.

The previous prime is 2002120102069. The next prime is 2002120102117. The reversal of 2002120102101 is 1012010212002.

It is not a de Polignac number, because 2002120102101 - 2⁵ = 2002120102069 is a prime.

It is a super-2 number, since 2×2002120102101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002120103101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1108592731 + ... + 1108594536.

It is an arithmetic number, because the mean of its divisors is an integer number (195112479584).

Almost surely, 2^{2002120102101} is an apocalyptic number.

2002120102101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2002120102101 is a deficient number, since it is larger than the sum of its proper divisors (1119679571243).

2002120102101 is a wasteful number, since it uses less digits than its factorization.

2002120102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217187320.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2002120102101 its reverse (1012010212002), we get a palindrome (3014130314103).

The spelling of 2002120102101 in words is "two trillion, two billion, one hundred twenty million, one hundred two thousand, one hundred one".