112100110020101 has 12 divisors (see below), whose sum is σ = 132539909274540. Its totient is φ = 94510631396160.

The previous prime is 112100110020077. The next prime is 112100110020109. The reversal of 112100110020101 is 101020011001211.

It can be written as a sum of positive squares in 2 ways, for example, as 26134854675076 + 85965255345025 = 5112226^2 + 9271745^2 .

It is not a de Polignac number, because 112100110020101 - 2⁶ = 112100110020037 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 (112100110020109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18752106416 + ... + 18752112393.

It is an arithmetic number, because the mean of its divisors is an integer number (11044992439545).

Almost surely, 2^{112100110020101} is an apocalyptic number.

It is an amenable number.

112100110020101 is a deficient number, since it is larger than the sum of its proper divisors (20439799254439).

112100110020101 is an equidigital number, since it uses as much as digits as its factorization.

112100110020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37504218884 (or 37504218877 counting only the distinct ones).

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

Adding to 112100110020101 its reverse (101020011001211), we get a palindrome (213120121021312).

The spelling of 112100110020101 in words is "one hundred twelve trillion, one hundred billion, one hundred ten million, twenty thousand, one hundred one".