102123212100113 has 4 divisors (see below), whose sum is σ = 102773678419380. Its totient is φ = 101472745780848.

The previous prime is 102123212100101. The next prime is 102123212100197. The reversal of 102123212100113 is 311001212321201.

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 20670998692369 + 81452213407744 = 4546537^2 + 9025088^2 .

It is a cyclic number.

It is not a de Polignac number, because 102123212100113 - 2¹⁴ = 102123212083729 is a prime.

It is a super-2 number, since 2×102123212100113² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102123212100913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 325233159398 + ... + 325233159711.

It is an arithmetic number, because the mean of its divisors is an integer number (25693419604845).

Almost surely, 2^{102123212100113} is an apocalyptic number.

It is an amenable number.

102123212100113 is a deficient number, since it is larger than the sum of its proper divisors (650466319267).

102123212100113 is an equidigital number, since it uses as much as digits as its factorization.

102123212100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650466319266.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 102123212100113 its reverse (311001212321201), we get a palindrome (413124424421314).

The spelling of 102123212100113 in words is "one hundred two trillion, one hundred twenty-three billion, two hundred twelve million, one hundred thousand, one hundred thirteen".