1516106616101 has 16 divisors (see below), whose sum is σ = 1928786582400. Its totient is φ = 1181381775840.

The previous prime is 1516106616097. The next prime is 1516106616127. The reversal of 1516106616101 is 1016166016151.

It is not a de Polignac number, because 1516106616101 - 2² = 1516106616097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1516106616151) 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, 200911496 + ... + 200919041.

It is an arithmetic number, because the mean of its divisors is an integer number (120549161400).

Almost surely, 2^{1516106616101} is an apocalyptic number.

1516106616101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1516106616101 is a deficient number, since it is larger than the sum of its proper divisors (412679966299).

1516106616101 is an equidigital number, since it uses as much as digits as its factorization.

1516106616101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401830569 (or 401830555 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 35.

The spelling of 1516106616101 in words is "one trillion, five hundred sixteen billion, one hundred six million, six hundred sixteen thousand, one hundred one".