101606211161017 has 16 divisors (see below), whose sum is σ = 102209688000000. Its totient is φ = 101004914856384.

The previous prime is 101606211160843. The next prime is 101606211161027. The reversal of 101606211161017 is 710161112606101.

It is a cyclic number.

It is not a de Polignac number, because 101606211161017 - 2²³ = 101606202772409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101606211161027) 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, 178916484 + ... + 179483482.

It is an arithmetic number, because the mean of its divisors is an integer number (6388105500000).

Almost surely, 2^{101606211161017} is an apocalyptic number.

It is an amenable number.

101606211161017 is a deficient number, since it is larger than the sum of its proper divisors (603476838983).

101606211161017 is a wasteful number, since it uses less digits than its factorization.

101606211161017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568920.

The product of its (nonzero) digits is 3024, while the sum is 34.

Adding to 101606211161017 its reverse (710161112606101), we get a palindrome (811767323767118).

The spelling of 101606211161017 in words is "one hundred one trillion, six hundred six billion, two hundred eleven million, one hundred sixty-one thousand, seventeen".