2102020000002 has 24 divisors (see below), whose sum is σ = 4904713333884. Its totient is φ = 646775384544.

The previous prime is 2102019999997. The next prime is 2102020000007. The reversal of 2102020000002 is 2000000202012.

It is an interprime number because it is at equal distance from previous prime (2102019999997) and next prime (2102020000007).

It can be written as a sum of positive squares in 2 ways, for example, as 2035218945321 + 66801054681 = 1426611^2 + 258459^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2102020000007) 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 11 ways as a sum of consecutive naturals, for example, 4491495493 + ... + 4491495960.

Almost surely, 2^{2102020000002} is an apocalyptic number.

2102020000002 is an abundant number, since it is smaller than the sum of its proper divisors (2802693333882).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2102020000002 is a wasteful number, since it uses less digits than its factorization.

2102020000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8982991474 (or 8982991471 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2102020000002 its reverse (2000000202012), we get a palindrome (4102020202014).

The spelling of 2102020000002 in words is "two trillion, one hundred two billion, twenty million, two", and thus it is an aban number.