102122332213213 has 8 divisors (see below), whose sum is σ = 110001152353400. Its totient is φ = 94246834376448.

The previous prime is 102122332213207. The next prime is 102122332213241. The reversal of 102122332213213 is 312312233221201.

It can be written as a sum of positive squares in 4 ways, for example, as 8628072020164 + 93494260193049 = 2937358^2 + 9669243^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102122332213213 - 2⁴⁵ = 66937960124381 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122332213283) 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, 830512008 + ... + 830634961.

It is an arithmetic number, because the mean of its divisors is an integer number (13750144044175).

Almost surely, 2^{102122332213213} is an apocalyptic number.

102122332213213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102122332213213 is a deficient number, since it is larger than the sum of its proper divisors (7878820140187).

102122332213213 is a wasteful number, since it uses less digits than its factorization.

102122332213213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661151711.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 102122332213213 its reverse (312312233221201), we get a palindrome (414434565434414).

The spelling of 102122332213213 in words is "one hundred two trillion, one hundred twenty-two billion, three hundred thirty-two million, two hundred thirteen thousand, two hundred thirteen".