102012101312113 has 16 divisors (see below), whose sum is σ = 109944037272960. Its totient is φ = 94297723543296.

The previous prime is 102012101312063. The next prime is 102012101312179. The reversal of 102012101312113 is 311213101210201.

It is a cyclic number.

It is not a de Polignac number, because 102012101312113 - 2¹³ = 102012101303921 is a prime.

It is a super-2 number, since 2×102012101312113² (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 (102012101342113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45430245 + ... + 47622802.

It is an arithmetic number, because the mean of its divisors is an integer number (6871502329560).

Almost surely, 2^{102012101312113} is an apocalyptic number.

It is an amenable number.

102012101312113 is a deficient number, since it is larger than the sum of its proper divisors (7931935960847).

102012101312113 is a wasteful number, since it uses less digits than its factorization.

102012101312113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93054216.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 102012101312113 its reverse (311213101210201), we get a palindrome (413225202522314).

The spelling of 102012101312113 in words is "one hundred two trillion, twelve billion, one hundred one million, three hundred twelve thousand, one hundred thirteen".