2002112001101 has 4 divisors (see below), whose sum is σ = 2044710128832. Its totient is φ = 1959513873372.

The previous prime is 2002112001059. The next prime is 2002112001119. The reversal of 2002112001101 is 1011002112002.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2002112001101 - 2⁶ = 2002112001037 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 (2002112000101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21299063795 + ... + 21299063888.

It is an arithmetic number, because the mean of its divisors is an integer number (511177532208).

Almost surely, 2^{2002112001101} is an apocalyptic number.

It is an amenable number.

2002112001101 is a deficient number, since it is larger than the sum of its proper divisors (42598127731).

2002112001101 is an equidigital number, since it uses as much as digits as its factorization.

2002112001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42598127730.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2002112001101 its reverse (1011002112002), we get a palindrome (3013114113103).

The spelling of 2002112001101 in words is "two trillion, two billion, one hundred twelve million, one thousand, one hundred one".