1020401000020 has 48 divisors (see below), whose sum is σ = 2219250474000. Its totient is φ = 393638389760.

The previous prime is 1020401000011. The next prime is 1020401000053. The reversal of 1020401000020 is 200001040201.

It can be written as a sum of positive squares in 8 ways, for example, as 2860752196 + 1017540247824 = 53486^2 + 1008732^2 .

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 = 1020400999970 and 1020401000006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487495 + ... + 1509454.

It is an arithmetic number, because the mean of its divisors is an integer number (46234384875).

Almost surely, 2^{1020401000020} is an apocalyptic number.

1020401000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020401000020 is an abundant number, since it is smaller than the sum of its proper divisors (1198849473980).

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

1020401000020 is a wasteful number, since it uses less digits than its factorization.

1020401000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997868 (or 1997866 counting only the distinct ones).

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

Adding to 1020401000020 its reverse (200001040201), we get a palindrome (1220402040221).

The spelling of 1020401000020 in words is "one trillion, twenty billion, four hundred one million, twenty", and thus it is an aban number.