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10102201189 is a prime number
BaseRepresentation
bin10010110100010001…
…10101101101100101
3222002001001222210121
421122020311231211
5131142130414224
64350233121541
7505225202413
oct113210655545
928061058717
1010102201189
11431447a303
121b5b2592b1
13c4cc21b52
146bb9682b3
153e1d49be4
hex25a235b65

10102201189 has 2 divisors, whose sum is σ = 10102201190. Its totient is φ = 10102201188.

The previous prime is 10102201177. The next prime is 10102201199. The reversal of 10102201189 is 98110220101.

10102201189 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9634992964 + 467208225 = 98158^2 + 21615^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102201189 - 215 = 10102168421 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102201199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051100594 + 5051100595.

It is an arithmetic number, because the mean of its divisors is an integer number (5051100595).

Almost surely, 210102201189 is an apocalyptic number.

It is an amenable number.

10102201189 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102201189 is an equidigital number, since it uses as much as digits as its factorization.

10102201189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 10102201189 in words is "ten billion, one hundred two million, two hundred one thousand, one hundred eighty-nine".