100111210002113 has 8 divisors (see below), whose sum is σ = 100529780692896. Its totient is φ = 99693506816800.

The previous prime is 100111210002109. The next prime is 100111210002127. The reversal of 100111210002113 is 311200012111001.

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 100111210002113 - 2² = 100111210002109 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111210002173) 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 7 ways as a sum of consecutive naturals, for example, 216645083 + ... + 217106688.

It is an arithmetic number, because the mean of its divisors is an integer number (12566222586612).

Almost surely, 2^{100111210002113} is an apocalyptic number.

It is an amenable number.

100111210002113 is a deficient number, since it is larger than the sum of its proper divisors (418570690783).

100111210002113 is an equidigital number, since it uses as much as digits as its factorization.

100111210002113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433752735.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 100111210002113 its reverse (311200012111001), we get a palindrome (411311222113114).

The spelling of 100111210002113 in words is "one hundred trillion, one hundred eleven billion, two hundred ten million, two thousand, one hundred thirteen".