21002211010200 has 192 divisors, whose sum is σ = 76418856380160. Its totient is φ = 4670761950720.

The previous prime is 21002211010181. The next prime is 21002211010327. The reversal of 21002211010200 is 201011220012.

It is a super-2 number, since 2×21002211010200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67419282 + ... + 67730081.

It is an arithmetic number, because the mean of its divisors is an integer number (398014876980).

Almost surely, 2^{21002211010200} is an apocalyptic number.

21002211010200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21002211010200 is an abundant number, since it is smaller than the sum of its proper divisors (55416645369960).

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

21002211010200 is a wasteful number, since it uses less digits than its factorization.

21002211010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135149426 (or 135149417 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21002211010200 its reverse (201011220012), we get a palindrome (21203222230212).

The spelling of 21002211010200 in words is "twenty-one trillion, two billion, two hundred eleven million, ten thousand, two hundred".