101905201 has 2 divisors, whose sum is σ = 101905202. Its totient is φ = 101905200.

The previous prime is 101905183. The next prime is 101905211. The reversal of 101905201 is 102509101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55651600 + 46253601 = 7460^2 + 6801^2 .

It is an emirp because it is prime and its reverse (102509101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101905201 - 2⁵ = 101905169 is a prime.

It is not a weakly prime, because it can be changed into another prime (101905211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50952600 + 50952601.

It is an arithmetic number, because the mean of its divisors is an integer number (50952601).

Almost surely, 2^101905201 is an apocalyptic number.

It is an amenable number.

101905201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101905201 is an equidigital number, since it uses as much as digits as its factorization.

101905201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 19.

The square root of 101905201 is about 10094.8105975298. The cubic root of 101905201 is about 467.0880789196.

The spelling of 101905201 in words is "one hundred one million, nine hundred five thousand, two hundred one".