21002000202000 has 240 divisors, whose sum is σ = 74109208550832. Its totient is φ = 5542795468800.

The previous prime is 21002000201983. The next prime is 21002000202083. The reversal of 21002000202000 is 20200020012.

It can be written as a sum of positive squares in 8 ways, for example, as 7055270942976 + 13946729259024 = 2656176^2 + 3734532^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4268319 + ... + 7760318.

Almost surely, 2^{21002000202000} is an apocalyptic number.

21002000202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21002000202000 is an abundant number, since it is smaller than the sum of its proper divisors (53107208348832).

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

21002000202000 is a wasteful number, since it uses less digits than its factorization.

21002000202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12028763 (or 12028744 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 21002000202000 its reverse (20200020012), we get a palindrome (21022200222012).

The spelling of 21002000202000 in words is "twenty-one trillion, two billion, two hundred two thousand".