101301000030001 has 8 divisors (see below), whose sum is σ = 104794877485800. Its totient is φ = 97807171875840.

The previous prime is 101301000029963. The next prime is 101301000030011. The reversal of 101301000030001 is 100030000103101.

It can be written as a sum of positive squares in 4 ways, for example, as 19891162922401 + 81409837107600 = 4459951^2 + 9022740^2 .

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 101301000030001 - 2¹⁷ = 101300999898929 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 101301000030001.

It is not an unprimeable number, because it can be changed into a prime (101301000030011) 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, 8120790 + ... + 16387471.

It is an arithmetic number, because the mean of its divisors is an integer number (13099359685725).

Almost surely, 2^{101301000030001} is an apocalyptic number.

It is an amenable number.

101301000030001 is a deficient number, since it is larger than the sum of its proper divisors (3493877455799).

101301000030001 is a wasteful number, since it uses less digits than its factorization.

101301000030001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24650819.

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 101301000030001 its reverse (100030000103101), we get a palindrome (201331000133102).

The spelling of 101301000030001 in words is "one hundred one trillion, three hundred one billion, thirty thousand, one".