102221122121 has 8 divisors (see below), whose sum is σ = 107604232320. Its totient is φ = 96838317072.

The previous prime is 102221122103. The next prime is 102221122127. The reversal of 102221122121 is 121221122201.

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 102221122121 - 2¹⁰ = 102221121097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102221122121.

It is not an unprimeable number, because it can be changed into a prime (102221122127) 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, 1002911 + ... + 1100123.

It is an arithmetic number, because the mean of its divisors is an integer number (13450529040).

Almost surely, 2^102221122121 is an apocalyptic number.

It is an amenable number.

102221122121 is a deficient number, since it is larger than the sum of its proper divisors (5383110199).

102221122121 is an equidigital number, since it uses as much as digits as its factorization.

102221122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152575.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102221122121 its reverse (121221122201), we get a palindrome (223442244322).

The spelling of 102221122121 in words is "one hundred two billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-one".