10010000100010 has 8 divisors (see below), whose sum is σ = 18018000180036. Its totient is φ = 4004000040000.

The previous prime is 10010000099987. The next prime is 10010000100011. The reversal of 10010000100010 is 1000100001001.

It can be written as a sum of positive squares in 2 ways, for example, as 9236122731801 + 773877368209 = 3039099^2 + 879703^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not an unprimeable number, because it can be changed into a prime (10010000100011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 500500004991 + ... + 500500005010.

Almost surely, 2^{10010000100010} is an apocalyptic number.

10010000100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10010000100010 is a deficient number, since it is larger than the sum of its proper divisors (8008000080026).

10010000100010 is a wasteful number, since it uses less digits than its factorization.

10010000100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001000010008.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10010000100010 its reverse (1000100001001), we get a palindrome (11010100101011).

Subtracting from 10010000100010 its reverse (1000100001001), we obtain a palindrome (9009900099009).

The spelling of 10010000100010 in words is "ten trillion, ten billion, one hundred thousand, ten".