2002111101101 has 8 divisors (see below), whose sum is σ = 2107498380000. Its totient is φ = 1896725123280.

The previous prime is 2002111101073. The next prime is 2002111101127. The reversal of 2002111101101 is 1011011112002.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2002111101101 is a prime.

It is a super-2 number, since 2×2002111101101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002111101161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5617775 + ... + 5963523.

It is an arithmetic number, because the mean of its divisors is an integer number (263437297500).

Almost surely, 2^{2002111101101} is an apocalyptic number.

It is an amenable number.

2002111101101 is a deficient number, since it is larger than the sum of its proper divisors (105387278899).

2002111101101 is a wasteful number, since it uses less digits than its factorization.

2002111101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650539.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2002111101101 its reverse (1011011112002), we get a palindrome (3013122213103).

The spelling of 2002111101101 in words is "two trillion, two billion, one hundred eleven million, one hundred one thousand, one hundred one".