101059201 has 2 divisors, whose sum is σ = 101059202. Its totient is φ = 101059200.

The previous prime is 101059193. The next prime is 101059243. The reversal of 101059201 is 102950101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96432400 + 4626801 = 9820^2 + 2151^2 .

It is a cyclic number.

It is not a de Polignac number, because 101059201 - 2³ = 101059193 is a prime.

It is not a weakly prime, because it can be changed into another prime (101059261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50529600 + 50529601.

It is an arithmetic number, because the mean of its divisors is an integer number (50529601).

Almost surely, 2^101059201 is an apocalyptic number.

It is an amenable number.

101059201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101059201 is an equidigital number, since it uses as much as digits as its factorization.

101059201 is an evil number, because the sum of its binary digits is even.

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

The square root of 101059201 is about 10052.8205494776. The cubic root of 101059201 is about 465.7919229818.

It can be divided in two parts, 10105 and 9201, that added together give a triangular number (19306 = T₁₉₆).

The spelling of 101059201 in words is "one hundred one million, fifty-nine thousand, two hundred one".