2002101993 has 12 divisors (see below), whose sum is σ = 2894743488. Its totient is φ = 1333433880.

The previous prime is 2002101947. The next prime is 2002102009. The reversal of 2002101993 is 3991012002.

It is not a de Polignac number, because 2002101993 - 2²⁴ = 1985324777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2002101593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98605 + ... + 117162.

It is an arithmetic number, because the mean of its divisors is an integer number (241228624).

Almost surely, 2^2002101993 is an apocalyptic number.

It is an amenable number.

2002101993 is a deficient number, since it is larger than the sum of its proper divisors (892641495).

2002101993 is a wasteful number, since it uses less digits than its factorization.

2002101993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216804 (or 216801 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 2002101993 is about 44744.8543745535. The cubic root of 2002101993 is about 1260.3622862229.

Adding to 2002101993 its reverse (3991012002), we get a palindrome (5993113995).

The spelling of 2002101993 in words is "two billion, two million, one hundred one thousand, nine hundred ninety-three".