10102000200020 has 48 divisors (see below), whose sum is σ = 21337905269520. Its totient is φ = 4017239617536.

The previous prime is 10102000200013. The next prime is 10102000200029. The reversal of 10102000200020 is 2000200020101.

It can be written as a sum of positive squares in 8 ways, for example, as 5611279766596 + 4490720433424 = 2368814^2 + 2119132^2 .

It is a super-3 number, since 3×10102000200020³ (a number of 40 digits) contains 333 as substring.

10102000200020 is a modest number, since divided by 200020 gives 101020 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10102000199980 and 10102000200007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102000200029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81279044 + ... + 81403236.

It is an arithmetic number, because the mean of its divisors is an integer number (444539693115).

Almost surely, 2^{10102000200020} is an apocalyptic number.

10102000200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102000200020 is an abundant number, since it is smaller than the sum of its proper divisors (11235905069500).

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

10102000200020 is a wasteful number, since it uses less digits than its factorization.

10102000200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147884 (or 147882 counting only the distinct ones).

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

Adding to 10102000200020 its reverse (2000200020101), we get a palindrome (12102200220121).

The spelling of 10102000200020 in words is "ten trillion, one hundred two billion, two hundred thousand, twenty".