102132123122213 has 4 divisors (see below), whose sum is σ = 102132572303820. Its totient is φ = 102131673940608.

The previous prime is 102132123122209. The next prime is 102132123122219. The reversal of 102132123122213 is 312221321231201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 36813124333924 + 65318998788289 = 6067382^2 + 8082017^2 .

It is a cyclic number.

It is not a de Polignac number, because 102132123122213 - 2² = 102132123122209 is a prime.

It is a super-2 number, since 2×102132123122213² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102132123122219) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 224249570 + ... + 224704547.

It is an arithmetic number, because the mean of its divisors is an integer number (25533143075955).

Almost surely, 2^{102132123122213} is an apocalyptic number.

It is an amenable number.

102132123122213 is a deficient number, since it is larger than the sum of its proper divisors (449181607).

102132123122213 is an equidigital number, since it uses as much as digits as its factorization.

102132123122213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449181606.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 102132123122213 its reverse (312221321231201), we get a palindrome (414353444353414).

The spelling of 102132123122213 in words is "one hundred two trillion, one hundred thirty-two billion, one hundred twenty-three million, one hundred twenty-two thousand, two hundred thirteen".