101959201 has 8 divisors (see below), whose sum is σ = 103393800. Its totient is φ = 100531200.

The previous prime is 101959199. The next prime is 101959213. The reversal of 101959201 is 102959101.

101959201 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 21390625 + 80568576 = 4625^2 + 8976^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101959201 - 2¹ = 101959199 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101959201.

It is not an unprimeable number, because it can be changed into a prime (101959801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35001 + ... + 37801.

It is an arithmetic number, because the mean of its divisors is an integer number (12924225).

Almost surely, 2^101959201 is an apocalyptic number.

It is an amenable number.

101959201 is a deficient number, since it is larger than the sum of its proper divisors (1434599).

101959201 is an equidigital number, since it uses as much as digits as its factorization.

101959201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299.

The product of its (nonzero) digits is 810, while the sum is 28.

The square root of 101959201 is about 10097.4848848612. The cubic root of 101959201 is about 467.1705683383.

The spelling of 101959201 in words is "one hundred one million, nine hundred fifty-nine thousand, two hundred one".