1020110102020 has 24 divisors (see below), whose sum is σ = 2163441428568. Its totient is φ = 404004000000.

The previous prime is 1020110101981. The next prime is 1020110102029. The reversal of 1020110102020 is 202010110201.

It can be written as a sum of positive squares in 4 ways, for example, as 324343918144 + 695766183876 = 569512^2 + 834126^2 .

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 = 1020110101988 and 1020110102006.

It is not an unprimeable number, because it can be changed into a prime (1020110102029) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 252500481 + ... + 252504520.

It is an arithmetic number, because the mean of its divisors is an integer number (90143392857).

Almost surely, 2^{1020110102020} is an apocalyptic number.

1020110102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020110102020 is an abundant number, since it is smaller than the sum of its proper divisors (1143331326548).

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

1020110102020 is a wasteful number, since it uses less digits than its factorization.

1020110102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505005111 (or 505005109 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1020110102020 its reverse (202010110201), we get a palindrome (1222120212221).

The spelling of 1020110102020 in words is "one trillion, twenty billion, one hundred ten million, one hundred two thousand, twenty".