10002002310010 has 32 divisors (see below), whose sum is σ = 18100801957392. Its totient is φ = 3979214453760.

The previous prime is 10002002309993. The next prime is 10002002310061. The reversal of 10002002310010 is 1001320020001.

It can be written as a sum of positive squares in 8 ways, for example, as 4754288067489 + 5247714242521 = 2180433^2 + 2290789^2 .

It is a super-2 number, since 2×10002002310010² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5334984 + ... + 6961756.

Almost surely, 2^{10002002310010} is an apocalyptic number.

10002002310010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002002310010 is a deficient number, since it is larger than the sum of its proper divisors (8098799647382).

10002002310010 is a wasteful number, since it uses less digits than its factorization.

10002002310010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630098.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10002002310010 its reverse (1001320020001), we get a palindrome (11003322330011).

The spelling of 10002002310010 in words is "ten trillion, two billion, two million, three hundred ten thousand, ten".