10211340417 has 16 divisors (see below), whose sum is σ = 13705464192. Its totient is φ = 6762441600.

The previous prime is 10211340407. The next prime is 10211340427. The reversal of 10211340417 is 71404311201.

It is an interprime number because it is at equal distance from previous prime (10211340407) and next prime (10211340427).

It is not a de Polignac number, because 10211340417 - 2¹¹ = 10211338369 is a prime.

It is a super-2 number, since 2×10211340417² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10211340407) 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, 896643 + ... + 907959.

It is an arithmetic number, because the mean of its divisors is an integer number (856591512).

Almost surely, 2^10211340417 is an apocalyptic number.

It is an amenable number.

10211340417 is a deficient number, since it is larger than the sum of its proper divisors (3494123775).

10211340417 is a wasteful number, since it uses less digits than its factorization.

10211340417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13288.

The product of its (nonzero) digits is 672, while the sum is 24.

Adding to 10211340417 its reverse (71404311201), we get a palindrome (81615651618).

The spelling of 10211340417 in words is "ten billion, two hundred eleven million, three hundred forty thousand, four hundred seventeen".