102122242133 has 8 divisors (see below), whose sum is σ = 102390022296. Its totient is φ = 101854528000.

The previous prime is 102122242129. The next prime is 102122242141. The reversal of 102122242133 is 331242221201.

It can be written as a sum of positive squares in 4 ways, for example, as 25812599569 + 76309642564 = 160663^2 + 276242^2 .

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 102122242133 - 2² = 102122242129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102122242099 and 102122242108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122242633) 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, 5184323 + ... + 5203983.

It is an arithmetic number, because the mean of its divisors is an integer number (12798752787).

Almost surely, 2^102122242133 is an apocalyptic number.

It is an amenable number.

102122242133 is a deficient number, since it is larger than the sum of its proper divisors (267780163).

102122242133 is a wasteful number, since it uses less digits than its factorization.

102122242133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33015.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 102122242133 its reverse (331242221201), we get a palindrome (433364463334).

The spelling of 102122242133 in words is "one hundred two billion, one hundred twenty-two million, two hundred forty-two thousand, one hundred thirty-three".