10010101000010 has 8 divisors (see below), whose sum is σ = 18018181800036. Its totient is φ = 4004040400000.

The previous prime is 10010100999971. The next prime is 10010101000021. The reversal of 10010101000010 is 1000010101001.

It can be written as a sum of positive squares in 2 ways, for example, as 9728603903041 + 281497096969 = 3119071^2 + 530563^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 10010100999958 and 10010101000003.

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 3 ways as a sum of consecutive naturals, for example, 500505049991 + ... + 500505050010.

Almost surely, 2^{10010101000010} is an apocalyptic number.

10010101000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10010101000010 is a deficient number, since it is larger than the sum of its proper divisors (8008080800026).

10010101000010 is a wasteful number, since it uses less digits than its factorization.

10010101000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001010100008.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10010101000010 its reverse (1000010101001), we get a palindrome (11010111101011).

The spelling of 10010101000010 in words is "ten trillion, ten billion, one hundred one million, ten", and thus it is an aban number.