10001201012101 has 4 divisors (see below), whose sum is σ = 10770524166892. Its totient is φ = 9231877857312.

The previous prime is 10001201012087. The next prime is 10001201012137. The reversal of 10001201012101 is 10121010210001.

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 2151425967076 + 7849775045025 = 1466774^2 + 2801745^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10001201012101 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 (10001201012161) by changing a digit.

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, 384661577376 + ... + 384661577401.

It is an arithmetic number, because the mean of its divisors is an integer number (2692631041723).

Almost surely, 2^{10001201012101} is an apocalyptic number.

It is an amenable number.

10001201012101 is a deficient number, since it is larger than the sum of its proper divisors (769323154791).

10001201012101 is an equidigital number, since it uses as much as digits as its factorization.

10001201012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769323154790.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10001201012101 its reverse (10121010210001), we get a palindrome (20122211222102).

The spelling of 10001201012101 in words is "ten trillion, one billion, two hundred one million, twelve thousand, one hundred one".