102102100221 has 16 divisors (see below), whose sum is σ = 151965918720. Its totient is φ = 60440988720.

The previous prime is 102102100157. The next prime is 102102100253. The reversal of 102102100221 is 122001201201.

It is not a de Polignac number, because 102102100221 - 2⁶ = 102102100157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102102100197 and 102102100206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102300221) 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, 35975361 + ... + 35978198.

It is an arithmetic number, because the mean of its divisors is an integer number (9497869920).

Almost surely, 2^102102100221 is an apocalyptic number.

102102100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102102100221 is a deficient number, since it is larger than the sum of its proper divisors (49863818499).

102102100221 is a wasteful number, since it uses less digits than its factorization.

102102100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71953616.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102102100221 its reverse (122001201201), we get a palindrome (224103301422).

The spelling of 102102100221 in words is "one hundred two billion, one hundred two million, one hundred thousand, two hundred twenty-one".