112100012101 has 18 divisors (see below), whose sum is σ = 143334497670. Its totient is φ = 87350654160.

The previous prime is 112100012099. The next prime is 112100012107. The reversal of 112100012101 is 101210001211.

It can be written as a sum of positive squares in only one way, i.e., 86201547201 + 25898464900 = 293601^2 + 160930^2 .

It is not a de Polignac number, because 112100012101 - 2¹ = 112100012099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112100012107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9447606 + ... + 9459463.

Almost surely, 2^112100012101 is an apocalyptic number.

112100012101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112100012101 is a deficient number, since it is larger than the sum of its proper divisors (31234485569).

112100012101 is a wasteful number, since it uses less digits than its factorization.

112100012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18907105 (or 18907087 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 112100012101 its reverse (101210001211), we get a palindrome (213310013312).

It can be divided in two parts, 11210001210 and 1, that added together give a palindrome (11210001211).

The spelling of 112100012101 in words is "one hundred twelve billion, one hundred million, twelve thousand, one hundred one".