1020120010020 has 144 divisors (see below), whose sum is σ = 3117922844400. Its totient is φ = 269962149888.

The previous prime is 1020120010003. The next prime is 1020120010067. The reversal of 1020120010020 is 200100210201.

It can be written as a sum of positive squares in 8 ways, for example, as 26573564196 + 993546445824 = 163014^2 + 996768^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1020120009984 and 1020120010011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146797506 + ... + 146804454.

It is an arithmetic number, because the mean of its divisors is an integer number (21652241975).

Almost surely, 2^{1020120010020} is an apocalyptic number.

1020120010020 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 1020120010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558961422200).

1020120010020 is an abundant number, since it is smaller than the sum of its proper divisors (2097802834380).

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

1020120010020 is a wasteful number, since it uses less digits than its factorization.

1020120010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13054 (or 13049 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1020120010020 its reverse (200100210201), we get a palindrome (1220220220221).

The spelling of 1020120010020 in words is "one trillion, twenty billion, one hundred twenty million, ten thousand, twenty".