10002002133310 has 128 divisors (see below), whose sum is σ = 20916370022400. Its totient is φ = 3407876757120.

The previous prime is 10002002133289. The next prime is 10002002133353. The reversal of 10002002133310 is 1333120020001.

It is a super-2 number, since 2×10002002133310² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 30177471 + ... + 30507109.

It is an arithmetic number, because the mean of its divisors is an integer number (163409140800).

Almost surely, 2^{10002002133310} is an apocalyptic number.

10002002133310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002002133310 is an abundant number, since it is smaller than the sum of its proper divisors (10914367889090).

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

10002002133310 is a wasteful number, since it uses less digits than its factorization.

10002002133310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329926.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10002002133310 its reverse (1333120020001), we get a palindrome (11335122153311).

The spelling of 10002002133310 in words is "ten trillion, two billion, two million, one hundred thirty-three thousand, three hundred ten".