101959801 has 2 divisors, whose sum is σ = 101959802. Its totient is φ = 101959800.

The previous prime is 101959769. The next prime is 101959807. The reversal of 101959801 is 108959101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78340201 + 23619600 = 8851^2 + 4860^2 .

It is an emirp because it is prime and its reverse (108959101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101959801 - 2⁵ = 101959769 is a prime.

It is not a weakly prime, because it can be changed into another prime (101959807) 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, 50979900 + 50979901.

It is an arithmetic number, because the mean of its divisors is an integer number (50979901).

Almost surely, 2^101959801 is an apocalyptic number.

It is an amenable number.

101959801 is a deficient number, since it is larger than the sum of its proper divisors (1).

101959801 is an equidigital number, since it uses as much as digits as its factorization.

101959801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 34.

The square root of 101959801 is about 10097.5145951863. The cubic root of 101959801 is about 467.1714847237.

The spelling of 101959801 in words is "one hundred one million, nine hundred fifty-nine thousand, eight hundred one".