102222021100221 has 48 divisors (see below), whose sum is σ = 165433147571328. Its totient is φ = 60277398825600.

The previous prime is 102222021100201. The next prime is 102222021100229. The reversal of 102222021100221 is 122001120222201.

It is a happy number.

102222021100221 is a `hidden beast` number, since 10 + 2 + 2 + 220 + 211 + 0 + 0 + 221 = 666.

102222021100221 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 102222021100221 - 2¹¹ = 102222021098173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102222021100194 and 102222021100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222021100229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284791056 + ... + 285149766.

It is an arithmetic number, because the mean of its divisors is an integer number (3446523907736).

Almost surely, 2^{102222021100221} is an apocalyptic number.

102222021100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102222021100221 is a deficient number, since it is larger than the sum of its proper divisors (63211126471107).

102222021100221 is a wasteful number, since it uses less digits than its factorization.

102222021100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436562 (or 436559 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102222021100221 its reverse (122001120222201), we get a palindrome (224223141322422).

The spelling of 102222021100221 in words is "one hundred two trillion, two hundred twenty-two billion, twenty-one million, one hundred thousand, two hundred twenty-one".