102102211100113 has 4 divisors (see below), whose sum is σ = 116688241257280. Its totient is φ = 87516180942948.

The previous prime is 102102211100063. The next prime is 102102211100129. The reversal of 102102211100113 is 311001112201201.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 102102211100113 - 2¹⁷ = 102102210969041 is a prime.

It is a super-2 number, since 2×102102211100113² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102102211109113) 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, 7293015078573 + ... + 7293015078586.

It is an arithmetic number, because the mean of its divisors is an integer number (29172060314320).

Almost surely, 2^{102102211100113} is an apocalyptic number.

It is an amenable number.

102102211100113 is a deficient number, since it is larger than the sum of its proper divisors (14586030157167).

102102211100113 is an equidigital number, since it uses as much as digits as its factorization.

102102211100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14586030157166.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 102102211100113 its reverse (311001112201201), we get a palindrome (413103323301314).

The spelling of 102102211100113 in words is "one hundred two trillion, one hundred two billion, two hundred eleven million, one hundred thousand, one hundred thirteen".