10101100610 has 16 divisors (see below), whose sum is σ = 18201569400. Its totient is φ = 4036087296.

The previous prime is 10101100571. The next prime is 10101100643. The reversal of 10101100610 is 1600110101.

It can be written as a sum of positive squares in 4 ways, for example, as 6266147281 + 3834953329 = 79159^2 + 61927^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10101100591 and 10101100600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 534365 + ... + 552944.

Almost surely, 2^10101100610 is an apocalyptic number.

10101100610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10101100610 is a deficient number, since it is larger than the sum of its proper divisors (8100468790).

10101100610 is a wasteful number, since it uses less digits than its factorization.

10101100610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088245.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10101100610 its reverse (1600110101), we get a palindrome (11701210711).

The spelling of 10101100610 in words is "ten billion, one hundred one million, one hundred thousand, six hundred ten".