102122240314133 has 8 divisors (see below), whose sum is σ = 109977909435576. Its totient is φ = 94266587217600.

The previous prime is 102122240314117. The next prime is 102122240314151. The reversal of 102122240314133 is 331413042221201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10690434562129 + 91431805752004 = 3269623^2 + 9561998^2 .

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 102122240314133 - 2⁴ = 102122240314117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102122240314096 and 102122240314105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122240314183) 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, 11433203 + ... + 18301983.

It is an arithmetic number, because the mean of its divisors is an integer number (13747238679447).

Almost surely, 2^{102122240314133} is an apocalyptic number.

102122240314133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102122240314133 is a deficient number, since it is larger than the sum of its proper divisors (7855669121443).

102122240314133 is a wasteful number, since it uses less digits than its factorization.

102122240314133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8012455.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 102122240314133 its reverse (331413042221201), we get a palindrome (433535282535334).

The spelling of 102122240314133 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred forty million, three hundred fourteen thousand, one hundred thirty-three".