101211217 has 8 divisors (see below), whose sum is σ = 107259336. Its totient is φ = 95173632.

The previous prime is 101211211. The next prime is 101211221. The reversal of 101211217 is 712112101.

It can be written as a sum of positive squares in 4 ways, for example, as 12173121 + 89038096 = 3489^2 + 9436^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101211217 - 2¹¹ = 101209169 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101211217.

It is not an unprimeable number, because it can be changed into a prime (101211211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26373 + ... + 29965.

It is an arithmetic number, because the mean of its divisors is an integer number (13407417).

Almost surely, 2^101211217 is an apocalyptic number.

101211217 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

101211217 is a deficient number, since it is larger than the sum of its proper divisors (6048119).

101211217 is a wasteful number, since it uses less digits than its factorization.

101211217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5267.

The product of its (nonzero) digits is 28, while the sum is 16.

The square root of 101211217 is about 10060.3785714058. The cubic root of 101211217 is about 466.0253582693.

Adding to 101211217 its reverse (712112101), we get a palindrome (813323318).

It can be divided in two parts, 1012112 and 17, that multiplied together give a square (17205904 = 4148²).

The spelling of 101211217 in words is "one hundred one million, two hundred eleven thousand, two hundred seventeen".