21020010202000 has 80 divisors (see below), whose sum is σ = 52579018767600. Its totient is φ = 8118072883200.

The previous prime is 21020010201979. The next prime is 21020010202007. The reversal of 21020010202000 is 20201002012.

It can be written as a sum of positive squares in 8 ways, for example, as 6712824991744 + 14307185210256 = 2590912^2 + 3782484^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (21020010202007) 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, 181148985 + ... + 181264984.

It is an arithmetic number, because the mean of its divisors is an integer number (657237734595).

Almost surely, 2^{21020010202000} is an apocalyptic number.

21020010202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21020010202000 is an abundant number, since it is smaller than the sum of its proper divisors (31559008565600).

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

21020010202000 is a wasteful number, since it uses less digits than its factorization.

21020010202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362414021 (or 362414005 counting only the distinct ones).

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

Adding to 21020010202000 its reverse (20201002012), we get a palindrome (21040211204012).

The spelling of 21020010202000 in words is "twenty-one trillion, twenty billion, ten million, two hundred two thousand".