2002112021101 has 8 divisors (see below), whose sum is σ = 2017483421184. Its totient is φ = 1986741956160.

The previous prime is 2002112021059. The next prime is 2002112021113. The reversal of 2002112021101 is 1011202112002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2002112021101 - 2²⁷ = 2001977803373 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 (2002112021141) 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 7 ways as a sum of consecutive naturals, for example, 2788485 + ... + 3432181.

It is an arithmetic number, because the mean of its divisors is an integer number (252185427648).

Almost surely, 2^{2002112021101} is an apocalyptic number.

It is an amenable number.

2002112021101 is a deficient number, since it is larger than the sum of its proper divisors (15371400083).

2002112021101 is a wasteful number, since it uses less digits than its factorization.

2002112021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667571.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2002112021101 its reverse (1011202112002), we get a palindrome (3013314133103).

Subtracting from 2002112021101 its reverse (1011202112002), we obtain a palindrome (990909909099).

The spelling of 2002112021101 in words is "two trillion, two billion, one hundred twelve million, twenty-one thousand, one hundred one".