100002113121001 has 16 divisors (see below), whose sum is σ = 125591350864000. Its totient is φ = 79122551037264.

The previous prime is 100002113120981. The next prime is 100002113121011. The reversal of 100002113121001 is 100121311200001.

It is a happy number.

It is not a de Polignac number, because 100002113121001 - 2¹³ = 100002113112809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (100002113121011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11213509011 + ... + 11213517928.

It is an arithmetic number, because the mean of its divisors is an integer number (7849459429000).

Almost surely, 2^{100002113121001} is an apocalyptic number.

It is an amenable number.

100002113121001 is a deficient number, since it is larger than the sum of its proper divisors (25589237742999).

100002113121001 is an equidigital number, since it uses as much as digits as its factorization.

100002113121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22427026973 (or 22427026959 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 100002113121001 its reverse (100121311200001), we get a palindrome (200123424321002).

The spelling of 100002113121001 in words is "one hundred trillion, two billion, one hundred thirteen million, one hundred twenty-one thousand, one".