102120112012013 has 8 divisors (see below), whose sum is σ = 102341487117120. Its totient is φ = 101898917699040.

The previous prime is 102120112012003. The next prime is 102120112012031. The reversal of 102120112012013 is 310210211021201.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 102120112012013 - 2³⁰ = 102119038270189 is a prime.

It is a super-2 number, since 2×102120112012013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102120112011982 and 102120112012000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120112012003) 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, 44067083 + ... + 46326536.

It is an arithmetic number, because the mean of its divisors is an integer number (12792685889640).

Almost surely, 2^{102120112012013} is an apocalyptic number.

It is an amenable number.

102120112012013 is a deficient number, since it is larger than the sum of its proper divisors (221375105107).

102120112012013 is an equidigital number, since it uses as much as digits as its factorization.

102120112012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90396067.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 102120112012013 its reverse (310210211021201), we get a palindrome (412330323033214).

The spelling of 102120112012013 in words is "one hundred two trillion, one hundred twenty billion, one hundred twelve million, twelve thousand, thirteen".