101516416111 has 8 divisors (see below), whose sum is σ = 116573875200. Its totient is φ = 87430406040.

The previous prime is 101516416097. The next prime is 101516416139. The reversal of 101516416111 is 111614615101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101516416111 - 2⁷ = 101516415983 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101516416111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101516446111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242862031 + ... + 242862448.

It is an arithmetic number, because the mean of its divisors is an integer number (14571734400).

Almost surely, 2^101516416111 is an apocalyptic number.

101516416111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101516416111 is a deficient number, since it is larger than the sum of its proper divisors (15057459089).

101516416111 is a wasteful number, since it uses less digits than its factorization.

101516416111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485724509.

The product of its (nonzero) digits is 720, while the sum is 28.

The spelling of 101516416111 in words is "one hundred one billion, five hundred sixteen million, four hundred sixteen thousand, one hundred eleven".