1020201202020 has 384 divisors, whose sum is σ = 3939053432832. Its totient is φ = 190393804800.

The previous prime is 1020201201979. The next prime is 1020201202073. The reversal of 1020201202020 is 202021020201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1020201201987 and 1020201202005.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1992675 + ... + 2451765.

It is an arithmetic number, because the mean of its divisors is an integer number (10257951648).

Almost surely, 2^{1020201202020} is an apocalyptic number.

1020201202020 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 1020201202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969526716416).

1020201202020 is an abundant number, since it is smaller than the sum of its proper divisors (2918852230812).

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

1020201202020 is a wasteful number, since it uses less digits than its factorization.

1020201202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459171 (or 459169 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1020201202020 its reverse (202021020201), we get a palindrome (1222222222221).

It can be divided in two parts, 1020201 and 202020, that added together give a palindrome (1222221).

The spelling of 1020201202020 in words is "one trillion, twenty billion, two hundred one million, two hundred two thousand, twenty".