100102000202020 has 96 divisors (see below), whose sum is σ = 225643494636000. Its totient is φ = 37166795587584.

The previous prime is 100102000201963. The next prime is 100102000202089. The reversal of 100102000202020 is 20202000201001.

It can be written as a sum of positive squares in 16 ways, for example, as 45228395742436 + 54873604459584 = 6725206^2 + 7407672^2 .

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 = 100102000201988 and 100102000202006.

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 31 ways as a sum of consecutive naturals, for example, 405658836 + ... + 405905524.

It is an arithmetic number, because the mean of its divisors is an integer number (2350453069125).

Almost surely, 2^{100102000202020} is an apocalyptic number.

100102000202020 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 100102000202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112821747318000).

100102000202020 is an abundant number, since it is smaller than the sum of its proper divisors (125541494433980).

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

100102000202020 is a wasteful number, since it uses less digits than its factorization.

100102000202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263137 (or 263135 counting only the distinct ones).

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

Adding to 100102000202020 its reverse (20202000201001), we get a palindrome (120304000403021).

The spelling of 100102000202020 in words is "one hundred trillion, one hundred two billion, two hundred two thousand, twenty".