2002101020020 has 24 divisors (see below), whose sum is σ = 4204633288968. Its totient is φ = 800798284800.

The previous prime is 2002101020011. The next prime is 2002101020027. The reversal of 2002101020020 is 200201012002.

It can be written as a sum of positive squares in 4 ways, for example, as 113268594916 + 1888832425104 = 336554^2 + 1374348^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2002101019979 and 2002101020006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002101020027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2241541 + ... + 3004780.

It is an arithmetic number, because the mean of its divisors is an integer number (175193053707).

Almost surely, 2^{2002101020020} is an apocalyptic number.

2002101020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002101020020 is an abundant number, since it is smaller than the sum of its proper divisors (2202532268948).

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

2002101020020 is a wasteful number, since it uses less digits than its factorization.

2002101020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5265411 (or 5265409 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2002101020020 its reverse (200201012002), we get a palindrome (2202302032022).

The spelling of 2002101020020 in words is "two trillion, two billion, one hundred one million, twenty thousand, twenty".