101410161 has 16 divisors (see below), whose sum is σ = 139477248. Its totient is φ = 65504000.

The previous prime is 101410159. The next prime is 101410181. The reversal of 101410161 is 161014101.

101410161 is a nontrivial binomial coefficient, being equal to C(14242, 2).

It is a cyclic number.

It is not a de Polignac number, because 101410161 - 2¹ = 101410159 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 101410161.

It is not an unprimeable number, because it can be changed into a prime (101410181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10681 + ... + 17801.

It is an arithmetic number, because the mean of its divisors is an integer number (8717328).

Almost surely, 2^101410161 is an apocalyptic number.

101410161 is the 14241-st triangular number and also the 7121-st hexagonal number.

It is an amenable number.

101410161 is a deficient number, since it is larger than the sum of its proper divisors (38067087).

101410161 is a wasteful number, since it uses less digits than its factorization.

101410161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7272.

The product of its (nonzero) digits is 24, while the sum is 15.

The square root of 101410161 is about 10070.2612180618. The cubic root of 101410161 is about 466.3305031975.

Adding to 101410161 its reverse (161014101), we get a palindrome (262424262).

It can be divided in two parts, 1014 and 10161, that added together give a triangular number (11175 = T₁₄₉).

The spelling of 101410161 in words is "one hundred one million, four hundred ten thousand, one hundred sixty-one".