2000002020100 has 72 divisors (see below), whose sum is σ = 5131039717440. Its totient is φ = 662069627520.

The previous prime is 2000002020091. The next prime is 2000002020103. The reversal of 2000002020100 is 10202000002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (2000002020103) 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, 49240834 + ... + 49281433.

It is an arithmetic number, because the mean of its divisors is an integer number (71264440520).

Almost surely, 2^{2000002020100} is an apocalyptic number.

2000002020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000002020100 is an abundant number, since it is smaller than the sum of its proper divisors (3131037697340).

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

2000002020100 is a wasteful number, since it uses less digits than its factorization.

2000002020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98522317 (or 98522310 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 2000002020100 its reverse (10202000002), we get a palindrome (2010204020102).

It can be divided in two parts, 200000 and 2020100, that added together give a square (2220100 = 1490²).

The spelling of 2000002020100 in words is "two trillion, two million, twenty thousand, one hundred".