2002102111101 has 8 divisors (see below), whose sum is σ = 2673971118720. Its totient is φ = 1332483922112.

The previous prime is 2002102111067. The next prime is 2002102111103. The reversal of 2002102111101 is 1011112012002.

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 2002102111101 - 2²⁵ = 2002068556669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002102111103) 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, 562702581 + ... + 562706138.

It is an arithmetic number, because the mean of its divisors is an integer number (334246389840).

Almost surely, 2^{2002102111101} is an apocalyptic number.

It is an amenable number.

2002102111101 is a deficient number, since it is larger than the sum of its proper divisors (671869007619).

2002102111101 is a wasteful number, since it uses less digits than its factorization.

2002102111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125409315.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2002102111101 its reverse (1011112012002), we get a palindrome (3013214123103).

Subtracting from 2002102111101 its reverse (1011112012002), we obtain a palindrome (990990099099).

The spelling of 2002102111101 in words is "two trillion, two billion, one hundred two million, one hundred eleven thousand, one hundred one".