101012385 has 32 divisors (see below), whose sum is σ = 172160640. Its totient is φ = 50398208.

The previous prime is 101012383. The next prime is 101012393. The reversal of 101012385 is 583210101.

It is a cyclic number.

It is not a de Polignac number, because 101012385 - 2¹ = 101012383 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (101012381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44539 + ... + 46751.

It is an arithmetic number, because the mean of its divisors is an integer number (5380020).

Almost surely, 2^101012385 is an apocalyptic number.

101012385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101012385 is a deficient number, since it is larger than the sum of its proper divisors (71148255).

101012385 is a wasteful number, since it uses less digits than its factorization.

101012385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417.

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 101012385 is about 10050.4917790126. The cubic root of 101012385 is about 465.7199853366.

Adding to 101012385 its reverse (583210101), we get a palindrome (684222486).

The spelling of 101012385 in words is "one hundred one million, twelve thousand, three hundred eighty-five".