1020200000020 has 96 divisors (see below), whose sum is σ = 2308868997120. Its totient is φ = 377551870080.

The previous prime is 1020200000011. The next prime is 1020200000021. The reversal of 1020200000020 is 200000020201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1020199999949 and 1020200000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020200000021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29401041 + ... + 29435719.

It is an arithmetic number, because the mean of its divisors is an integer number (24050718720).

Almost surely, 2^{1020200000020} is an apocalyptic number.

1020200000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020200000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154434498560).

1020200000020 is an abundant number, since it is smaller than the sum of its proper divisors (1288668997100).

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

1020200000020 is a wasteful number, since it uses less digits than its factorization.

1020200000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36805 (or 36803 counting only the distinct ones).

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

Adding to 1020200000020 its reverse (200000020201), we get a palindrome (1220200020221).

The spelling of 1020200000020 in words is "one trillion, twenty billion, two hundred million, twenty", and thus it is an aban number.