2002001121101 has 16 divisors (see below), whose sum is σ = 2053817175168. Its totient is φ = 1950425870400.

The previous prime is 2002001121047. The next prime is 2002001121149. The reversal of 2002001121101 is 1011211002002.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2002001121101 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 (2002001121301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174887360 + ... + 174898806.

It is an arithmetic number, because the mean of its divisors is an integer number (128363573448).

Almost surely, 2^{2002001121101} is an apocalyptic number.

It is an amenable number.

2002001121101 is a deficient number, since it is larger than the sum of its proper divisors (51816054067).

2002001121101 is a wasteful number, since it uses less digits than its factorization.

2002001121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21572.

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

Adding to 2002001121101 its reverse (1011211002002), we get a palindrome (3013212123103).

The spelling of 2002001121101 in words is "two trillion, two billion, one million, one hundred twenty-one thousand, one hundred one".