2002112101 has 6 divisors (see below), whose sum is σ = 2200668806. Its totient is φ = 1820101800.

The previous prime is 2002112081. The next prime is 2002112129. The reversal of 2002112101 is 1012112002.

It can be written as a sum of positive squares in only one way, i.e., 1266292225 + 735819876 = 35585^2 + 27126^2 .

It is not a de Polignac number, because 2002112101 - 2¹¹ = 2002110053 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 (2002112141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8273070 + ... + 8273311.

Almost surely, 2^2002112101 is an apocalyptic number.

It is an amenable number.

2002112101 is a deficient number, since it is larger than the sum of its proper divisors (198556705).

2002112101 is a wasteful number, since it uses less digits than its factorization.

2002112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16546403 (or 16546392 counting only the distinct ones).

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

The square root of 2002112101 is about 44744.9673259463. The cubic root of 2002112101 is about 1260.3644072805.

Adding to 2002112101 its reverse (1012112002), we get a palindrome (3014224103).

Subtracting from 2002112101 its reverse (1012112002), we obtain a palindrome (990000099).

The spelling of 2002112101 in words is "two billion, two million, one hundred twelve thousand, one hundred one".