101060011515006 has 192 divisors, whose sum is σ = 236068248998400. Its totient is φ = 31149276537600.

The previous prime is 101060011514993. The next prime is 101060011515037. The reversal of 101060011515006 is 600515110060101.

101060011515006 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 6 + 0 + 0 + 1 + 151 + 500 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6788466495 + ... + 6788481381.

It is an arithmetic number, because the mean of its divisors is an integer number (1229522130200).

Almost surely, 2^{101060011515006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101060011515006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118034124499200).

101060011515006 is an abundant number, since it is smaller than the sum of its proper divisors (135008237483394).

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

101060011515006 is a wasteful number, since it uses less digits than its factorization.

101060011515006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17455 (or 17452 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 101060011515006 its reverse (600515110060101), we get a palindrome (701575121575107).

The spelling of 101060011515006 in words is "one hundred one trillion, sixty billion, eleven million, five hundred fifteen thousand, six".