1020300103020 has 384 divisors, whose sum is σ = 3306156134400. Its totient is φ = 232863621120.

The previous prime is 1020300103003. The next prime is 1020300103051. The reversal of 1020300103020 is 203010030201.

It is a happy number.

It is a super-2 number, since 2×1020300103020² (a number of 25 digits) contains 22 as substring.

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 = 1020300102987 and 1020300103005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94475581 + ... + 94486379.

It is an arithmetic number, because the mean of its divisors is an integer number (8609781600).

Almost surely, 2^{1020300103020} is an apocalyptic number.

1020300103020 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 1020300103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653078067200).

1020300103020 is an abundant number, since it is smaller than the sum of its proper divisors (2285856031380).

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

1020300103020 is a wasteful number, since it uses less digits than its factorization.

1020300103020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10985 (or 10983 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1020300103020 its reverse (203010030201), we get a palindrome (1223310133221).

The spelling of 1020300103020 in words is "one trillion, twenty billion, three hundred million, one hundred three thousand, twenty".