100012001112101 has 6 divisors (see below), whose sum is σ = 108297018955890. Its totient is φ = 92318770257168.

The previous prime is 100012001112073. The next prime is 100012001112187. The reversal of 100012001112101 is 101211100210001.

It can be written as a sum of positive squares in 3 ways, for example, as 8087511261025 + 91924489851076 = 2843855^2 + 9587726^2 .

It is not a de Polignac number, because 100012001112101 - 2²⁶ = 100011934003237 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 (100012001114101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 295893494246 + ... + 295893494583.

It is an arithmetic number, because the mean of its divisors is an integer number (18049503159315).

Almost surely, 2^{100012001112101} is an apocalyptic number.

It is an amenable number.

100012001112101 is a deficient number, since it is larger than the sum of its proper divisors (8285017843789).

100012001112101 is an equidigital number, since it uses as much as digits as its factorization.

100012001112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591786988855 (or 591786988842 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100012001112101 its reverse (101211100210001), we get a palindrome (201223101322102).

The spelling of 100012001112101 in words is "one hundred trillion, twelve billion, one million, one hundred twelve thousand, one hundred one".