101216151617101 has 4 divisors (see below), whose sum is σ = 101219697987804. Its totient is φ = 101212605246400.

The previous prime is 101216151617089. The next prime is 101216151617107. The reversal of 101216151617101 is 101716151612101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 33997633901001 + 67218517716100 = 5830749^2 + 8198690^2 .

It is a cyclic number.

It is not a de Polignac number, because 101216151617101 - 2⁷ = 101216151616973 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 (101216151617107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1773142540 + ... + 1773199621.

It is an arithmetic number, because the mean of its divisors is an integer number (25304924496951).

Almost surely, 2^{101216151617101} is an apocalyptic number.

It is an amenable number.

101216151617101 is a deficient number, since it is larger than the sum of its proper divisors (3546370703).

101216151617101 is an equidigital number, since it uses as much as digits as its factorization.

101216151617101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546370702.

The product of its (nonzero) digits is 2520, while the sum is 34.

The spelling of 101216151617101 in words is "one hundred one trillion, two hundred sixteen billion, one hundred fifty-one million, six hundred seventeen thousand, one hundred one".