100100201200013 has 8 divisors (see below), whose sum is σ = 114400303698240. Its totient is φ = 85800117140640.

The previous prime is 100100201200001. The next prime is 100100201200039. The reversal of 100100201200013 is 310002102001001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100100201200013 - 2⁴⁶ = 29731457022349 is a prime.

It is a super-4 number, since 4×100100201200013⁴ (a number of 57 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100100201199967 and 100100201200003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100201209013) 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, 10191833 + ... + 17437713.

It is an arithmetic number, because the mean of its divisors is an integer number (14300037962280).

Almost surely, 2^{100100201200013} is an apocalyptic number.

It is an amenable number.

100100201200013 is a deficient number, since it is larger than the sum of its proper divisors (14300102498227).

100100201200013 is an equidigital number, since it uses as much as digits as its factorization.

100100201200013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9219427.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100100201200013 its reverse (310002102001001), we get a palindrome (410102303201014).

The spelling of 100100201200013 in words is "one hundred trillion, one hundred billion, two hundred one million, two hundred thousand, thirteen".