102105312221 has 8 divisors (see below), whose sum is σ = 114398089824. Its totient is φ = 90314280720.

The previous prime is 102105312209. The next prime is 102105312259. The reversal of 102105312221 is 122213501201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102105312221 - 2¹⁴ = 102105295837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102105312193 and 102105312202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102105312121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125436095 + ... + 125436908.

It is an arithmetic number, because the mean of its divisors is an integer number (14299761228).

Almost surely, 2^102105312221 is an apocalyptic number.

102105312221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102105312221 is a deficient number, since it is larger than the sum of its proper divisors (12292777603).

102105312221 is a wasteful number, since it uses less digits than its factorization.

102105312221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250873051.

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 102105312221 its reverse (122213501201), we get a palindrome (224318813422).

The spelling of 102105312221 in words is "one hundred two billion, one hundred five million, three hundred twelve thousand, two hundred twenty-one".