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10122216101 is a prime number
BaseRepresentation
bin10010110110101010…
…01100001010100101
3222010102201212002122
421123111030022211
5131212241403401
64352230115325
7505560263054
oct113325141245
928112655078
1010122216101
1143247aa858
121b65aabb45
13c5410bcaa
146c049839b
153e39a021b
hex25b54c2a5

10122216101 has 2 divisors, whose sum is σ = 10122216102. Its totient is φ = 10122216100.

The previous prime is 10122215963. The next prime is 10122216163. The reversal of 10122216101 is 10161222101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8902111201 + 1220104900 = 94351^2 + 34930^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10122216101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10122216101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10122216301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061108050 + 5061108051.

It is an arithmetic number, because the mean of its divisors is an integer number (5061108051).

Almost surely, 210122216101 is an apocalyptic number.

It is an amenable number.

10122216101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122216101 is an equidigital number, since it uses as much as digits as its factorization.

10122216101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 10122216101 its reverse (10161222101), we get a palindrome (20283438202).

The spelling of 10122216101 in words is "ten billion, one hundred twenty-two million, two hundred sixteen thousand, one hundred one".