102211002100221 has 16 divisors (see below), whose sum is σ = 155853175984128. Its totient is φ = 58367632834800.

The previous prime is 102211002100153. The next prime is 102211002100223. The reversal of 102211002100221 is 122001200112201.

It is not a de Polignac number, because 102211002100221 - 2¹⁰ = 102211002099197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102211002100221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211002100223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1610554165 + ... + 1610617626.

It is an arithmetic number, because the mean of its divisors is an integer number (9740823499008).

Almost surely, 2^{102211002100221} is an apocalyptic number.

It is an amenable number.

102211002100221 is a deficient number, since it is larger than the sum of its proper divisors (53642173883907).

102211002100221 is a wasteful number, since it uses less digits than its factorization.

102211002100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3221173312.

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

Adding to 102211002100221 its reverse (122001200112201), we get a palindrome (224212202212422).

The spelling of 102211002100221 in words is "one hundred two trillion, two hundred eleven billion, two million, one hundred thousand, two hundred twenty-one".