2002000220010 has 96 divisors (see below), whose sum is σ = 6004397123712. Its totient is φ = 453323399040.

The previous prime is 2002000219979. The next prime is 2002000220071. The reversal of 2002000220010 is 100220002002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2002000219974 and 2002000220001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14782021 + ... + 14916840.

It is an arithmetic number, because the mean of its divisors is an integer number (62545803372).

Almost surely, 2^{2002000220010} is an apocalyptic number.

2002000220010 is an abundant number, since it is smaller than the sum of its proper divisors (4002396903702).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002000220010 is a wasteful number, since it uses less digits than its factorization.

2002000220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29698988 (or 29698985 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2002000220010 its reverse (100220002002), we get a palindrome (2102220222012).

The spelling of 2002000220010 in words is "two trillion, two billion, two hundred twenty thousand, ten".