101166616001 has 8 divisors (see below), whose sum is σ = 110367296064. Its totient is φ = 91966555120.

The previous prime is 101166615967. The next prime is 101166616009. The reversal of 101166616001 is 100616661101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101166616001 - 2¹⁸ = 101166353857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101166616009) 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, 228011 + ... + 504303.

It is an arithmetic number, because the mean of its divisors is an integer number (13795912008).

Almost surely, 2^101166616001 is an apocalyptic number.

101166616001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101166616001 is a deficient number, since it is larger than the sum of its proper divisors (9200680063).

101166616001 is a wasteful number, since it uses less digits than its factorization.

101166616001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309591.

The product of its (nonzero) digits is 1296, while the sum is 29.

The spelling of 101166616001 in words is "one hundred one billion, one hundred sixty-six million, six hundred sixteen thousand, one".