101100505010006 has 32 divisors (see below), whose sum is σ = 160158165463296. Its totient is φ = 47797431552000.

The previous prime is 101100505009979. The next prime is 101100505010027. The reversal of 101100505010006 is 600010505001101.

It is a super-2 number, since 2×101100505010006² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101100505010006.

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, 63040115 + ... + 64623966.

It is an arithmetic number, because the mean of its divisors is an integer number (5004942670728).

Almost surely, 2^{101100505010006} is an apocalyptic number.

101100505010006 is a deficient number, since it is larger than the sum of its proper divisors (59057660453290).

101100505010006 is a wasteful number, since it uses less digits than its factorization.

101100505010006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127664408.

The product of its (nonzero) digits is 150, while the sum is 20.

The spelling of 101100505010006 in words is "one hundred one trillion, one hundred billion, five hundred five million, ten thousand, six".