10101002100221 has 16 divisors (see below), whose sum is σ = 10602720074160. Its totient is φ = 9610509081600.

The previous prime is 10101002100179. The next prime is 10101002100247. The reversal of 10101002100221 is 12200120010101.

It can be written as a sum of positive squares in 8 ways, for example, as 694138922500 + 9406863177721 = 833150^2 + 3067061^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10101002100221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101002100521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8341730 + ... + 9475571.

It is an arithmetic number, because the mean of its divisors is an integer number (662670004635).

Almost surely, 2^{10101002100221} is an apocalyptic number.

It is an amenable number.

10101002100221 is a deficient number, since it is larger than the sum of its proper divisors (501717973939).

10101002100221 is a wasteful number, since it uses less digits than its factorization.

10101002100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17817616.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10101002100221 its reverse (12200120010101), we get a palindrome (22301122110322).

The spelling of 10101002100221 in words is "ten trillion, one hundred one billion, two million, one hundred thousand, two hundred twenty-one".