10211002000221 has 32 divisors (see below), whose sum is σ = 15779774390400. Its totient is φ = 5813601050880.

The previous prime is 10211002000183. The next prime is 10211002000223. The reversal of 10211002000221 is 12200020011201.

It is not a de Polignac number, because 10211002000221 - 2¹⁰ = 10211001999197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10211002000197 and 10211002000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211002000223) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 144151126 + ... + 144221943.

It is an arithmetic number, because the mean of its divisors is an integer number (493117949700).

Almost surely, 2^{10211002000221} is an apocalyptic number.

10211002000221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10211002000221 is a deficient number, since it is larger than the sum of its proper divisors (5568772390179).

10211002000221 is a wasteful number, since it uses less digits than its factorization.

10211002000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288373149.

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

Adding to 10211002000221 its reverse (12200020011201), we get a palindrome (22411022011422).

The spelling of 10211002000221 in words is "ten trillion, two hundred eleven billion, two million, two hundred twenty-one", and thus it is an aban number.