101016651006 has 24 divisors (see below), whose sum is σ = 223959398520. Its totient is φ = 32889141936.

The previous prime is 101016650953. The next prime is 101016651007. The reversal of 101016651006 is 600156610101.

101016651006 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 6 + 651 + 0 + 0 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101016651007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65255461 + ... + 65257008.

It is an arithmetic number, because the mean of its divisors is an integer number (9331641605).

Almost surely, 2^101016651006 is an apocalyptic number.

101016651006 is an abundant number, since it is smaller than the sum of its proper divisors (122942747514).

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

101016651006 is a wasteful number, since it uses less digits than its factorization.

101016651006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130512520 (or 130512517 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 101016651006 in words is "one hundred one billion, sixteen million, six hundred fifty-one thousand, six".