1010020202020 has 96 divisors (see below), whose sum is σ = 2271792622176. Its totient is φ = 375856128000.

The previous prime is 1010020202011. The next prime is 1010020202027. The reversal of 1010020202020 is 202020200101.

1010020202020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 245175503104 + 764844698916 = 495152^2 + 874554^2 .

It is a super-2 number, since 2×1010020202020² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

1010020202020 is a modest number, since divided by 20202020 gives 10100 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1010020201988 and 1010020202006.

It is not an unprimeable number, because it can be changed into a prime (1010020202027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21026430 + ... + 21074410.

It is an arithmetic number, because the mean of its divisors is an integer number (23664506481).

Almost surely, 2^{1010020202020} is an apocalyptic number.

1010020202020 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 1010020202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135896311088).

1010020202020 is an abundant number, since it is smaller than the sum of its proper divisors (1261772420156).

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

1010020202020 is a wasteful number, since it uses less digits than its factorization.

1010020202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48721 (or 48719 counting only the distinct ones).

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

Adding to 1010020202020 its reverse (202020200101), we get a palindrome (1212040402121).

The spelling of 1010020202020 in words is "one trillion, ten billion, twenty million, two hundred two thousand, twenty".