101211305 has 16 divisors (see below), whose sum is σ = 135308880. Its totient is φ = 72162048.

The previous prime is 101211287. The next prime is 101211307. The reversal of 101211305 is 503112101.

It can be written as a sum of positive squares in 8 ways, for example, as 16516096 + 84695209 = 4064^2 + 9203^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211305 - 2⁶ = 101211241 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101211305.

It is not an unprimeable number, because it can be changed into a prime (101211307) 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 15 ways as a sum of consecutive naturals, for example, 24962 + ... + 28731.

It is an arithmetic number, because the mean of its divisors is an integer number (8456805).

Almost surely, 2^101211305 is an apocalyptic number.

It is an amenable number.

101211305 is a deficient number, since it is larger than the sum of its proper divisors (34097575).

101211305 is a wasteful number, since it uses less digits than its factorization.

101211305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53740.

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 101211305 is about 10060.3829449977. The cubic root of 101211305 is about 466.0254933341.

Adding to 101211305 its reverse (503112101), we get a palindrome (604323406).

The spelling of 101211305 in words is "one hundred one million, two hundred eleven thousand, three hundred five".