2002102000101 has 24 divisors (see below), whose sum is σ = 3479007654720. Its totient is φ = 1083844691136.

The previous prime is 2002102000091. The next prime is 2002102000187. The reversal of 2002102000101 is 1010002012002.

It is not a de Polignac number, because 2002102000101 - 2¹⁹ = 2002101475813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002102004101) 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 23 ways as a sum of consecutive naturals, for example, 836298720 + ... + 836301113.

It is an arithmetic number, because the mean of its divisors is an integer number (144958652280).

Almost surely, 2^{2002102000101} is an apocalyptic number.

2002102000101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2002102000101 is a deficient number, since it is larger than the sum of its proper divisors (1476905654619).

2002102000101 is a wasteful number, since it uses less digits than its factorization.

2002102000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672599865 (or 1672599862 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2002102000101 its reverse (1010002012002), we get a palindrome (3012104012103).

The spelling of 2002102000101 in words is "two trillion, two billion, one hundred two million, one hundred one", and thus it is an aban number.