1516106612101 has 16 divisors (see below), whose sum is σ = 1609550582400. Its totient is φ = 1424978267328.

The previous prime is 1516106612087. The next prime is 1516106612191. The reversal of 1516106612101 is 1012166016151.

It is a cyclic number.

It is not a de Polignac number, because 1516106612101 - 2⁷ = 1516106611973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1516106612191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2832835 + ... + 3325231.

It is an arithmetic number, because the mean of its divisors is an integer number (100596911400).

Almost surely, 2^{1516106612101} is an apocalyptic number.

It is an amenable number.

1516106612101 is a deficient number, since it is larger than the sum of its proper divisors (93443970299).

1516106612101 is a wasteful number, since it uses less digits than its factorization.

1516106612101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494748.

The product of its (nonzero) digits is 2160, while the sum is 31.

The spelling of 1516106612101 in words is "one trillion, five hundred sixteen billion, one hundred six million, six hundred twelve thousand, one hundred one".