100002122113 has 8 divisors (see below), whose sum is σ = 101273801600. Its totient is φ = 98730588528.

The previous prime is 100002122021. The next prime is 100002122159. The reversal of 100002122113 is 311221200001.

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 100002122113 - 2¹³ = 100002113921 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100002122093 and 100002122102.

It is not an unprimeable number, because it can be changed into a prime (100002122513) 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, 2235595 + ... + 2279887.

It is an arithmetic number, because the mean of its divisors is an integer number (12659225200).

Almost surely, 2^100002122113 is an apocalyptic number.

It is an amenable number.

100002122113 is a deficient number, since it is larger than the sum of its proper divisors (1271679487).

100002122113 is an equidigital number, since it uses as much as digits as its factorization.

100002122113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72951.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100002122113 its reverse (311221200001), we get a palindrome (411223322114).

The spelling of 100002122113 in words is "one hundred billion, two million, one hundred twenty-two thousand, one hundred thirteen".