101334001 has 8 divisors (see below), whose sum is σ = 105230664. Its totient is φ = 97505280.

The previous prime is 101333989. The next prime is 101334017. The reversal of 101334001 is 100433101.

It can be written as a sum of positive squares in 4 ways, for example, as 26061025 + 75272976 = 5105^2 + 8676^2 .

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 101334001 - 2⁷ = 101333873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101334041) 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, 13936 + ... + 19921.

It is an arithmetic number, because the mean of its divisors is an integer number (13153833).

Almost surely, 2^101334001 is an apocalyptic number.

It is an amenable number.

101334001 is a deficient number, since it is larger than the sum of its proper divisors (3896663).

101334001 is an equidigital number, since it uses as much as digits as its factorization.

101334001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33971.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 101334001 is about 10066.4790766186. The cubic root of 101334001 is about 466.2137344064.

Adding to 101334001 its reverse (100433101), we get a palindrome (201767102).

The spelling of 101334001 in words is "one hundred one million, three hundred thirty-four thousand, one".