20102020123300 has 144 divisors (see below), whose sum is σ = 45236879810640. Its totient is φ = 7744412712960.

The previous prime is 20102020123277. The next prime is 20102020123313. The reversal of 20102020123300 is 332102020102.

It can be written as a sum of positive squares in 24 ways, for example, as 13793855424064 + 6308164699236 = 3714008^2 + 2511606^2 .

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 47 ways as a sum of consecutive naturals, for example, 2250305634 + ... + 2250314566.

It is an arithmetic number, because the mean of its divisors is an integer number (314144998685).

Almost surely, 2^{20102020123300} is an apocalyptic number.

20102020123300 is a gapful number since it is divisible by the number (20) 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 20102020123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22618439905320).

20102020123300 is an abundant number, since it is smaller than the sum of its proper divisors (25134859687340).

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

20102020123300 is a wasteful number, since it uses less digits than its factorization.

20102020123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10802 (or 10795 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20102020123300 its reverse (332102020102), we get a palindrome (20434122143402).

The spelling of 20102020123300 in words is "twenty trillion, one hundred two billion, twenty million, one hundred twenty-three thousand, three hundred".