10400220217 has 2 divisors, whose sum is σ = 10400220218. Its totient is φ = 10400220216.

The previous prime is 10400220199. The next prime is 10400220253. The reversal of 10400220217 is 71202200401.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9128655936 + 1271564281 = 95544^2 + 35659^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10400220217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10400220194 and 10400220203.

It is not a weakly prime, because it can be changed into another prime (10400220277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200110108 + 5200110109.

It is an arithmetic number, because the mean of its divisors is an integer number (5200110109).

Almost surely, 2^10400220217 is an apocalyptic number.

It is an amenable number.

10400220217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400220217 is an equidigital number, since it uses as much as digits as its factorization.

10400220217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 224, while the sum is 19.

Adding to 10400220217 its reverse (71202200401), we get a palindrome (81602420618).

It can be divided in two parts, 1040022021 and 7, that added together give a triangular number (1040022028 = T₄₅₆₀₇).

The spelling of 10400220217 in words is "ten billion, four hundred million, two hundred twenty thousand, two hundred seventeen".