10102001210221 has 8 divisors (see below), whose sum is σ = 10167916766904. Its totient is φ = 10036105547520.

The previous prime is 10102001210201. The next prime is 10102001210227. The reversal of 10102001210221 is 12201210020101.

It can be written as a sum of positive squares in 4 ways, for example, as 173130888100 + 9928870322121 = 416090^2 + 3151011^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10102001210221 - 2³⁷ = 9964562256749 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102001210227) by changing a digit.

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, 3953920 + ... + 5986441.

It is an arithmetic number, because the mean of its divisors is an integer number (1270989595863).

Almost surely, 2^{10102001210221} is an apocalyptic number.

It is an amenable number.

10102001210221 is a deficient number, since it is larger than the sum of its proper divisors (65915556683).

10102001210221 is an equidigital number, since it uses as much as digits as its factorization.

10102001210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9946991.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10102001210221 its reverse (12201210020101), we get a palindrome (22303211230322).

The spelling of 10102001210221 in words is "ten trillion, one hundred two billion, one million, two hundred ten thousand, two hundred twenty-one".