101010605005008 has 80 divisors (see below), whose sum is σ = 294265278346560. Its totient is φ = 33167661335424.

The previous prime is 101010605004997. The next prime is 101010605005031. The reversal of 101010605005008 is 800500506010101.

101010605005008 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 0 + 605 + 0 + 0 + 50 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1744902735 + ... + 1744960622.

It is an arithmetic number, because the mean of its divisors is an integer number (3678315979332).

Almost surely, 2^{101010605005008} is an apocalyptic number.

101010605005008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101010605005008 is an abundant number, since it is smaller than the sum of its proper divisors (193254673341552).

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

101010605005008 is a wasteful number, since it uses less digits than its factorization.

101010605005008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3489863441 (or 3489863429 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The spelling of 101010605005008 in words is "one hundred one trillion, ten billion, six hundred five million, five thousand, eight".