112002002101 has 6 divisors (see below), whose sum is σ = 123109638806. Its totient is φ = 101820001800.

The previous prime is 112002002093. The next prime is 112002002117. The reversal of 112002002101 is 101200200211.

It can be written as a sum of positive squares in only one way, i.e., 58080518001 + 53921484100 = 240999^2 + 232210^2 .

It is not a de Polignac number, because 112002002101 - 2³ = 112002002093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112002002201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 462818070 + ... + 462818311.

Almost surely, 2^112002002101 is an apocalyptic number.

112002002101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112002002101 is a deficient number, since it is larger than the sum of its proper divisors (11107636705).

112002002101 is an equidigital number, since it uses as much as digits as its factorization.

112002002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925636403 (or 925636392 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 112002002101 its reverse (101200200211), we get a palindrome (213202202312).

It can be divided in two parts, 11200200210 and 1, that added together give a palindrome (11200200211).

The spelling of 112002002101 in words is "one hundred twelve billion, two million, two thousand, one hundred one".