100100000012101 has 4 divisors (see below), whose sum is σ = 100114367752672. Its totient is φ = 100085632271532.

The previous prime is 100100000012057. The next prime is 100100000012137. The reversal of 100100000012101 is 101210000001001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100100000012101 - 2²⁹ = 100099463141189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100000012141) 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 3 ways as a sum of consecutive naturals, for example, 7183859835 + ... + 7183873768.

It is an arithmetic number, because the mean of its divisors is an integer number (25028591938168).

Almost surely, 2^{100100000012101} is an apocalyptic number.

It is an amenable number.

100100000012101 is a deficient number, since it is larger than the sum of its proper divisors (14367740571).

100100000012101 is an equidigital number, since it uses as much as digits as its factorization.

100100000012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14367740570.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100100000012101 its reverse (101210000001001), we get a palindrome (201310000013102).

The spelling of 100100000012101 in words is "one hundred trillion, one hundred billion, twelve thousand, one hundred one".