100120201210013 has 8 divisors (see below), whose sum is σ = 106011405851832. Its totient is φ = 94229194461696.

The previous prime is 100120201209989. The next prime is 100120201210027. The reversal of 100120201210013 is 310012102021001.

It can be written as a sum of positive squares in 4 ways, for example, as 41464867819684 + 58655333390329 = 6439322^2 + 7658677^2 .

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 100120201210013 - 2⁶ = 100120201209949 is a prime.

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 100120201210013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120201210033) 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, 48431120 + ... + 50456057.

It is an arithmetic number, because the mean of its divisors is an integer number (13251425731479).

Almost surely, 2^{100120201210013} is an apocalyptic number.

It is an amenable number.

100120201210013 is a deficient number, since it is larger than the sum of its proper divisors (5891204641819).

100120201210013 is an equidigital number, since it uses as much as digits as its factorization.

100120201210013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98946751.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100120201210013 its reverse (310012102021001), we get a palindrome (410132303231014).

The spelling of 100120201210013 in words is "one hundred trillion, one hundred twenty billion, two hundred one million, two hundred ten thousand, thirteen".