101010100000008 has 128 divisors (see below), whose sum is σ = 275866321536000. Its totient is φ = 30698967640320.

The previous prime is 101010099999983. The next prime is 101010100000081. The reversal of 101010100000008 is 800000001010101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101010099999939 and 101010100000002.

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 31 ways as a sum of consecutive naturals, for example, 8167710 + ... + 16393037.

It is an arithmetic number, because the mean of its divisors is an integer number (2155205637000).

Almost surely, 2^{101010100000008} is an apocalyptic number.

It is an amenable number.

101010100000008 is an abundant number, since it is smaller than the sum of its proper divisors (174856221535992).

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

101010100000008 is a wasteful number, since it uses less digits than its factorization.

101010100000008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24561115 (or 24561111 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101010100000008 its reverse (800000001010101), we get a palindrome (901010101010109).

The spelling of 101010100000008 in words is "one hundred one trillion, ten billion, one hundred million, eight", and thus it is an aban number.