10102001221221 has 192 divisors, whose sum is σ = 17618094563328. Its totient is φ = 5098813235712.

The previous prime is 10102001221199. The next prime is 10102001221289. The reversal of 10102001221221 is 12212210020101.

It is not a de Polignac number, because 10102001221221 - 2⁹ = 10102001220709 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10102001221221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102001221021) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1332186796 + ... + 1332194378.

It is an arithmetic number, because the mean of its divisors is an integer number (91760909184).

Almost surely, 2^{10102001221221} is an apocalyptic number.

It is an amenable number.

10102001221221 is a deficient number, since it is larger than the sum of its proper divisors (7516093342107).

10102001221221 is a wasteful number, since it uses less digits than its factorization.

10102001221221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7960 (or 7953 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10102001221221 its reverse (12212210020101), we get a palindrome (22314211241322).

The spelling of 10102001221221 in words is "ten trillion, one hundred two billion, one million, two hundred twenty-one thousand, two hundred twenty-one".