102400114417 has 2 divisors, whose sum is σ = 102400114418. Its totient is φ = 102400114416.

The previous prime is 102400114391. The next prime is 102400114459. The reversal of 102400114417 is 714411004201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90194504976 + 12205609441 = 300324^2 + 110479^2 .

It is a cyclic number.

It is not a de Polignac number, because 102400114417 - 2²³ = 102391725809 is a prime.

It is a super-2 number, since 2×102400114417² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102400114391 and 102400114400.

It is not a weakly prime, because it can be changed into another prime (102400114517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51200057208 + 51200057209.

It is an arithmetic number, because the mean of its divisors is an integer number (51200057209).

Almost surely, 2^102400114417 is an apocalyptic number.

It is an amenable number.

102400114417 is a deficient number, since it is larger than the sum of its proper divisors (1).

102400114417 is an equidigital number, since it uses as much as digits as its factorization.

102400114417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 896, while the sum is 25.

Adding to 102400114417 its reverse (714411004201), we get a palindrome (816811118618).

The spelling of 102400114417 in words is "one hundred two billion, four hundred million, one hundred fourteen thousand, four hundred seventeen".