102020110202020 has 96 divisors (see below), whose sum is σ = 229169217483360. Its totient is φ = 38014753628160.

The previous prime is 102020110201967. The next prime is 102020110202053. The reversal of 102020110202020 is 20202011020201.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 33823623744 + 101986286578276 = 183912^2 + 10098826^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33410742 + ... + 36336178.

It is an arithmetic number, because the mean of its divisors is an integer number (2387179348785).

Almost surely, 2^{102020110202020} is an apocalyptic number.

102020110202020 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 102020110202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114584608741680).

102020110202020 is an abundant number, since it is smaller than the sum of its proper divisors (127149107281340).

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

102020110202020 is a wasteful number, since it uses less digits than its factorization.

102020110202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926513 (or 2926511 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102020110202020 its reverse (20202011020201), we get a palindrome (122222121222221).

The spelling of 102020110202020 in words is "one hundred two trillion, twenty billion, one hundred ten million, two hundred two thousand, twenty".