101003201 has 8 divisors (see below), whose sum is σ = 112523880. Its totient is φ = 90018432.

The previous prime is 101003179. The next prime is 101003209. The reversal of 101003201 is 102300101.

It can be written as a sum of positive squares in 4 ways, for example, as 201601 + 100801600 = 449^2 + 10040^2 .

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 101003201 - 2¹⁸ = 100741057 is a prime.

It is a super-2 number, since 2×101003201² = 20403293224492802, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101003209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133580 + ... + 134333.

It is an arithmetic number, because the mean of its divisors is an integer number (14065485).

Almost surely, 2^101003201 is an apocalyptic number.

It is an amenable number.

101003201 is a deficient number, since it is larger than the sum of its proper divisors (11520679).

101003201 is a wasteful number, since it uses less digits than its factorization.

101003201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267955.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 101003201 is about 10050.0348755614. The cubic root of 101003201 is about 465.7058705592.

Adding to 101003201 its reverse (102300101), we get a palindrome (203303302).

The spelling of 101003201 in words is "one hundred one million, three thousand, two hundred one".