10102001120105 has 4 divisors (see below), whose sum is σ = 12122401344132. Its totient is φ = 8081600896080.

The previous prime is 10102001120083. The next prime is 10102001120111. The reversal of 10102001120105 is 50102110020101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1690678668121 + 8411322451984 = 1300261^2 + 2900228^2 .

It is not a de Polignac number, because 10102001120105 - 2⁶ = 10102001120041 is a prime.

It is a super-2 number, since 2×10102001120105² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10102001120105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1010200112006 + ... + 1010200112015.

It is an arithmetic number, because the mean of its divisors is an integer number (3030600336033).

Almost surely, 2^{10102001120105} is an apocalyptic number.

It is an amenable number.

10102001120105 is a deficient number, since it is larger than the sum of its proper divisors (2020400224027).

10102001120105 is an equidigital number, since it uses as much as digits as its factorization.

10102001120105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020400224026.

The product of its (nonzero) digits is 20, while the sum is 14.

Adding to 10102001120105 its reverse (50102110020101), we get a palindrome (60204111140206).

The spelling of 10102001120105 in words is "ten trillion, one hundred two billion, one million, one hundred twenty thousand, one hundred five".