112002010000101 has 24 divisors (see below), whose sum is σ = 174272475704600. Its totient is φ = 68905670270976.

The previous prime is 112002010000087. The next prime is 112002010000141. The reversal of 112002010000101 is 101000010200211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10516231779876 + 101485778220225 = 3242874^2 + 10074015^2 .

It is not a de Polignac number, because 112002010000101 - 2¹⁹ = 112002009475813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112002010000141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129034876 + ... + 129899973.

Almost surely, 2^{112002010000101} is an apocalyptic number.

It is an amenable number.

112002010000101 is a deficient number, since it is larger than the sum of its proper divisors (62270465704499).

112002010000101 is a wasteful number, since it uses less digits than its factorization.

112002010000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258938565 (or 258938562 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 112002010000101 its reverse (101000010200211), we get a palindrome (213002020200312).

The spelling of 112002010000101 in words is "one hundred twelve trillion, two billion, ten million, one hundred one", and thus it is an aban number.