102112121221 has 8 divisors (see below), whose sum is σ = 113283093600. Its totient is φ = 91255824240.

The previous prime is 102112121207. The next prime is 102112121269. The reversal of 102112121221 is 122121211201.

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 102112121221 - 2⁷ = 102112121093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102112121195 and 102112121204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112121921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78668166 + ... + 78669463.

It is an arithmetic number, because the mean of its divisors is an integer number (14160386700).

Almost surely, 2^102112121221 is an apocalyptic number.

102112121221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102112121221 is a deficient number, since it is larger than the sum of its proper divisors (11170972379).

102112121221 is a wasteful number, since it uses less digits than its factorization.

102112121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157337699.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102112121221 its reverse (122121211201), we get a palindrome (224233332422).

The spelling of 102112121221 in words is "one hundred two billion, one hundred twelve million, one hundred twenty-one thousand, two hundred twenty-one".