1002020120020 has 24 divisors (see below), whose sum is σ = 2104261221384. Its totient is φ = 400804434816.

The previous prime is 1002020120011. The next prime is 1002020120021. The reversal of 1002020120020 is 200210202001.

1002020120020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 83884378384 + 918135741636 = 289628^2 + 958194^2 .

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 = 1002020119979 and 1002020120006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002020120021) 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, 3789982 + ... + 4045738.

It is an arithmetic number, because the mean of its divisors is an integer number (87677550891).

Almost surely, 2^{1002020120020} is an apocalyptic number.

1002020120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002020120020 is an abundant number, since it is smaller than the sum of its proper divisors (1102241101364).

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

1002020120020 is a wasteful number, since it uses less digits than its factorization.

1002020120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451659 (or 451657 counting only the distinct ones).

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

Adding to 1002020120020 its reverse (200210202001), we get a palindrome (1202230322021).

The spelling of 1002020120020 in words is "one trillion, two billion, twenty million, one hundred twenty thousand, twenty".