102100300000201 has 6 divisors (see below), whose sum is σ = 104934347773710. Its totient is φ = 99340832431296.

The previous prime is 102100300000159. The next prime is 102100300000217. The reversal of 102100300000201 is 102000003001201.

It can be written as a sum of positive squares in 3 ways, for example, as 34631341825600 + 67468958174601 = 5884840^2 + 8213949^2 .

It is not a de Polignac number, because 102100300000201 - 2²⁹ = 102099763129289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102100300000291) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37290100896 + ... + 37290103633.

It is an arithmetic number, because the mean of its divisors is an integer number (17489057962285).

Almost surely, 2^{102100300000201} is an apocalyptic number.

It is an amenable number.

102100300000201 is a deficient number, since it is larger than the sum of its proper divisors (2834047773509).

102100300000201 is an frugal number, since it uses more digits than its factorization.

102100300000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74580204603 (or 74580204566 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 102100300000201 its reverse (102000003001201), we get a palindrome (204100303001402).

The spelling of 102100300000201 in words is "one hundred two trillion, one hundred billion, three hundred million, two hundred one", and thus it is an aban number.