102211417 has 32 divisors (see below), whose sum is σ = 132562944. Its totient is φ = 76507200.

The previous prime is 102211409. The next prime is 102211441. The reversal of 102211417 is 714112201.

It is not a de Polignac number, because 102211417 - 2³ = 102211409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102211394 and 102211403.

It is not an unprimeable number, because it can be changed into a prime (102211477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220528 + ... + 220990.

It is an arithmetic number, because the mean of its divisors is an integer number (4142592).

Almost surely, 2^102211417 is an apocalyptic number.

It is an amenable number.

102211417 is a deficient number, since it is larger than the sum of its proper divisors (30351527).

102211417 is a wasteful number, since it uses less digits than its factorization.

102211417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589.

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 102211417 is about 10109.9662215064. The cubic root of 102211417 is about 467.5554636933. Note that the first 3 decimals are identical.

Adding to 102211417 its reverse (714112201), we get a palindrome (816323618).

The spelling of 102211417 in words is "one hundred two million, two hundred eleven thousand, four hundred seventeen".