101121985 has 16 divisors (see below), whose sum is σ = 126257040. Its totient is φ = 77656320.

The previous prime is 101121983. The next prime is 101121991. The reversal of 101121985 is 589121101.

101121985 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 8 ways, for example, as 300304 + 100821681 = 548^2 + 10041^2 .

It is not a de Polignac number, because 101121985 - 2¹ = 101121983 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101121983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24319 + ... + 28171.

It is an arithmetic number, because the mean of its divisors is an integer number (7891065).

Almost surely, 2^101121985 is an apocalyptic number.

It is an amenable number.

101121985 is a deficient number, since it is larger than the sum of its proper divisors (25135055).

101121985 is a wasteful number, since it uses less digits than its factorization.

101121985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4068.

The product of its (nonzero) digits is 720, while the sum is 28.

The square root of 101121985 is about 10055.9427703224. The cubic root of 101121985 is about 465.8883622498. Note that the first 3 decimals are identical.

The spelling of 101121985 in words is "one hundred one million, one hundred twenty-one thousand, nine hundred eighty-five".