100001112101 has 4 divisors (see below), whose sum is σ = 109092122304. Its totient is φ = 90910101900.

The previous prime is 100001112067. The next prime is 100001112179. The reversal of 100001112101 is 101211100001.

It is a happy number.

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 100001112101 - 2¹⁴ = 100001095717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001115101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4545505085 + ... + 4545505106.

It is an arithmetic number, because the mean of its divisors is an integer number (27273030576).

Almost surely, 2^100001112101 is an apocalyptic number.

100001112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001112101 is a deficient number, since it is larger than the sum of its proper divisors (9091010203).

100001112101 is an equidigital number, since it uses as much as digits as its factorization.

100001112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9091010202.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100001112101 its reverse (101211100001), we get a palindrome (201212212102).

The spelling of 100001112101 in words is "one hundred billion, one million, one hundred twelve thousand, one hundred one".