102220122112121 has 16 divisors (see below), whose sum is σ = 111500520742800. Its totient is φ = 93145633287168.

The previous prime is 102220122112111. The next prime is 102220122112151. The reversal of 102220122112121 is 121211221022201.

It can be written as a sum of positive squares in 8 ways, for example, as 18630445690000 + 83589676422121 = 4316300^2 + 9142739^2 .

It is a cyclic number.

It is not a de Polignac number, because 102220122112121 - 2²⁶ = 102220055003257 is a prime.

It is a super-2 number, since 2×102220122112121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102220122112093 and 102220122112102.

It is not an unprimeable number, because it can be changed into a prime (102220122112111) 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, 70881986 + ... + 72309723.

It is an arithmetic number, because the mean of its divisors is an integer number (6968782546425).

Almost surely, 2^{102220122112121} is an apocalyptic number.

It is an amenable number.

102220122112121 is a deficient number, since it is larger than the sum of its proper divisors (9280398630679).

102220122112121 is a wasteful number, since it uses less digits than its factorization.

102220122112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143192428.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 102220122112121 its reverse (121211221022201), we get a palindrome (223431343134322).

The spelling of 102220122112121 in words is "one hundred two trillion, two hundred twenty billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twenty-one".