21201002000 has 40 divisors (see below), whose sum is σ = 51264027672. Its totient is φ = 8480400000.

The previous prime is 21201001993. The next prime is 21201002029. The reversal of 21201002000 is 20010212.

It can be written as a sum of positive squares in 4 ways, for example, as 519110656 + 20681891344 = 22784^2 + 143812^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (8).

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 7 ways as a sum of consecutive naturals, for example, 5298251 + ... + 5302250.

Almost surely, 2^21201002000 is an apocalyptic number.

21201002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21201002000 is an abundant number, since it is smaller than the sum of its proper divisors (30063025672).

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

21201002000 is a wasteful number, since it uses less digits than its factorization.

21201002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10600524 (or 10600508 counting only the distinct ones).

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

Adding to 21201002000 its reverse (20010212), we get a palindrome (21221012212).

The spelling of 21201002000 in words is "twenty-one billion, two hundred one million, two thousand".