102013300120001 has 8 divisors (see below), whose sum is σ = 102029110813224. Its totient is φ = 101997490533120.

The previous prime is 102013300119977. The next prime is 102013300120019. The reversal of 102013300120001 is 100021003310201.

It can be written as a sum of positive squares in 4 ways, for example, as 4947061191601 + 97066238928400 = 2224199^2 + 9852220^2 .

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 102013300120001 - 2³⁰ = 102012226378177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102013300420001) 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, 194668331 + ... + 195191663.

It is an arithmetic number, because the mean of its divisors is an integer number (12753638851653).

Almost surely, 2^{102013300120001} is an apocalyptic number.

It is an amenable number.

102013300120001 is a deficient number, since it is larger than the sum of its proper divisors (15810693223).

102013300120001 is an equidigital number, since it uses as much as digits as its factorization.

102013300120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553171.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 102013300120001 its reverse (100021003310201), we get a palindrome (202034303430202).

The spelling of 102013300120001 in words is "one hundred two trillion, thirteen billion, three hundred million, one hundred twenty thousand, one".