101601723105 has 24 divisors (see below), whose sum is σ = 176371384488. Its totient is φ = 54107053056.

The previous prime is 101601723089. The next prime is 101601723149. The reversal of 101601723105 is 501327106101.

It can be written as a sum of positive squares in 4 ways, for example, as 23713844049 + 77887879056 = 153993^2 + 279084^2 .

It is not a de Polignac number, because 101601723105 - 2⁴ = 101601723089 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1647142 + ... + 1707711.

It is an arithmetic number, because the mean of its divisors is an integer number (7348807687).

Almost surely, 2^101601723105 is an apocalyptic number.

101601723105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101601723105 is a deficient number, since it is larger than the sum of its proper divisors (74769661383).

101601723105 is a wasteful number, since it uses less digits than its factorization.

101601723105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3355537 (or 3355534 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

Adding to 101601723105 its reverse (501327106101), we get a palindrome (602928829206).

The spelling of 101601723105 in words is "one hundred one billion, six hundred one million, seven hundred twenty-three thousand, one hundred five".