10002002202000 has 160 divisors (see below), whose sum is σ = 35829394748160. Its totient is φ = 2667200572800.

The previous prime is 10002002201963. The next prime is 10002002202007. The reversal of 10002002202000 is 20220020001.

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

It is not an unprimeable number, because it can be changed into a prime (10002002202007) 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 31 ways as a sum of consecutive naturals, for example, 92557132 + ... + 92665131.

It is an arithmetic number, because the mean of its divisors is an integer number (223933717176).

Almost surely, 2^{10002002202000} is an apocalyptic number.

10002002202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002002202000 is an abundant number, since it is smaller than the sum of its proper divisors (25827392546160).

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

10002002202000 is a wasteful number, since it uses less digits than its factorization.

10002002202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185222295 (or 185222273 counting only the distinct ones).

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

Adding to 10002002202000 its reverse (20220020001), we get a palindrome (10022222222001).

The spelling of 10002002202000 in words is "ten trillion, two billion, two million, two hundred two thousand".