21002102200002 has 384 divisors, whose sum is σ = 55911886700544. Its totient is φ = 5139687168000.

The previous prime is 21002102199941. The next prime is 21002102200031. The reversal of 21002102200002 is 20000220120012.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3378169998 + ... + 3378176214.

It is an arithmetic number, because the mean of its divisors is an integer number (145603871616).

Almost surely, 2^{21002102200002} is an apocalyptic number.

21002102200002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21002102200002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27955943350272).

21002102200002 is an abundant number, since it is smaller than the sum of its proper divisors (34909784500542).

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

21002102200002 is a wasteful number, since it uses less digits than its factorization.

21002102200002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6846 (or 6835 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21002102200002 its reverse (20000220120012), we get a palindrome (41002322320014).

The spelling of 21002102200002 in words is "twenty-one trillion, two billion, one hundred two million, two hundred thousand, two".