101201102112013 has 32 divisors (see below), whose sum is σ = 107677459058400. Its totient is φ = 95113033740288.

The previous prime is 101201102111971. The next prime is 101201102112017. The reversal of 101201102112013 is 310211201102101.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 28846644649 + 101172255467364 = 169843^2 + 10058442^2 .

It is a de Polignac number, because none of the positive numbers 2^k-101201102112013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201102112017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20366490193 + ... + 20366495161.

It is an arithmetic number, because the mean of its divisors is an integer number (3364920595575).

Almost surely, 2^{101201102112013} is an apocalyptic number.

It is an amenable number.

101201102112013 is a deficient number, since it is larger than the sum of its proper divisors (6476356946387).

101201102112013 is an equidigital number, since it uses as much as digits as its factorization.

101201102112013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10066 (or 10032 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 101201102112013 its reverse (310211201102101), we get a palindrome (411412303214114).

The spelling of 101201102112013 in words is "one hundred one trillion, two hundred one billion, one hundred two million, one hundred twelve thousand, thirteen".