2002101332101 has 32 divisors (see below), whose sum is σ = 2278990909440. Its totient is φ = 1745575539456.

The previous prime is 2002101332053. The next prime is 2002101332117. The reversal of 2002101332101 is 1012331012002.

It is a cyclic number.

It is not a de Polignac number, because 2002101332101 - 2⁷ = 2002101331973 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 (2002101332191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39080235 + ... + 39131431.

It is an arithmetic number, because the mean of its divisors is an integer number (71218465920).

Almost surely, 2^{2002101332101} is an apocalyptic number.

It is an amenable number.

2002101332101 is a deficient number, since it is larger than the sum of its proper divisors (276889577339).

2002101332101 is a wasteful number, since it uses less digits than its factorization.

2002101332101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53493.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2002101332101 its reverse (1012331012002), we get a palindrome (3014432344103).

The spelling of 2002101332101 in words is "two trillion, two billion, one hundred one million, three hundred thirty-two thousand, one hundred one".