100112101220101 has 8 divisors (see below), whose sum is σ = 101153185232960. Its totient is φ = 99071200891008.

The previous prime is 100112101220077. The next prime is 100112101220203. The reversal of 100112101220101 is 101022101211001.

It is a happy number.

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 100112101220101 - 2¹⁹ = 100112100695813 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 (100112101200101) 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 7 ways as a sum of consecutive naturals, for example, 44825091 + ... + 47005456.

It is an arithmetic number, because the mean of its divisors is an integer number (12644148154120).

Almost surely, 2^{100112101220101} is an apocalyptic number.

It is an amenable number.

100112101220101 is a deficient number, since it is larger than the sum of its proper divisors (1041084012859).

100112101220101 is an equidigital number, since it uses as much as digits as its factorization.

100112101220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91841883.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100112101220101 its reverse (101022101211001), we get a palindrome (201134202431102).

The spelling of 100112101220101 in words is "one hundred trillion, one hundred twelve billion, one hundred one million, two hundred twenty thousand, one hundred one".