101166165101 has 8 divisors (see below), whose sum is σ = 101933343864. Its totient is φ = 100401548800.

The previous prime is 101166165083. The next prime is 101166165127. The reversal of 101166165101 is 101561661101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 77213959876 + 23952205225 = 277874^2 + 154765^2 .

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 101166165101 - 2²² = 101161970797 is a prime.

It is a super-2 number, since 2×101166165101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101166105101) 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, 561320 + ... + 719313.

It is an arithmetic number, because the mean of its divisors is an integer number (12741667983).

Almost surely, 2^101166165101 is an apocalyptic number.

It is an amenable number.

101166165101 is a deficient number, since it is larger than the sum of its proper divisors (767178763).

101166165101 is a wasteful number, since it uses less digits than its factorization.

101166165101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281231.

The product of its (nonzero) digits is 1080, while the sum is 29.

The spelling of 101166165101 in words is "one hundred one billion, one hundred sixty-six million, one hundred sixty-five thousand, one hundred one".