101101100006015 has 16 divisors (see below), whose sum is σ = 121893709362048. Its totient is φ = 80499581673216.

The previous prime is 101101100005967. The next prime is 101101100006029. The reversal of 101101100006015 is 510600001101101.

It is a cyclic number.

It is not a de Polignac number, because 101101100006015 - 2¹⁶ = 101101099940479 is a prime.

It is a super-3 number, since 3×101101100006015³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101101100005984 and 101101100006002.

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, 15663527 + ... + 21155336.

It is an arithmetic number, because the mean of its divisors is an integer number (7618356835128).

Almost surely, 2^{101101100006015} is an apocalyptic number.

101101100006015 is a deficient number, since it is larger than the sum of its proper divisors (20792609356033).

101101100006015 is a wasteful number, since it uses less digits than its factorization.

101101100006015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36821458.

The product of its (nonzero) digits is 30, while the sum is 17.

Adding to 101101100006015 its reverse (510600001101101), we get a palindrome (611701101107116).

The spelling of 101101100006015 in words is "one hundred one trillion, one hundred one billion, one hundred million, six thousand, fifteen".