101587166984161 has 8 divisors (see below), whose sum is σ = 103804368896448. Its totient is φ = 99391809426000.

The previous prime is 101587166984129. The next prime is 101587166984179. The reversal of 101587166984161 is 161489661785101.

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 101587166984161 - 2⁵ = 101587166984129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101587166984093 and 101587166984102.

It is not an unprimeable number, because it can be changed into a prime (101587166984461) 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, 5461079130 + ... + 5461097731.

It is an arithmetic number, because the mean of its divisors is an integer number (12975546112056).

Almost surely, 2^{101587166984161} is an apocalyptic number.

It is an amenable number.

101587166984161 is a deficient number, since it is larger than the sum of its proper divisors (2217201912287).

101587166984161 is a wasteful number, since it uses less digits than its factorization.

101587166984161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10922177063.

The product of its (nonzero) digits is 17418240, while the sum is 64.

The spelling of 101587166984161 in words is "one hundred one trillion, five hundred eighty-seven billion, one hundred sixty-six million, nine hundred eighty-four thousand, one hundred sixty-one".