10105012001 has 8 divisors (see below), whose sum is σ = 11549542080. Its totient is φ = 8660721168.

The previous prime is 10105011991. The next prime is 10105012009. The reversal of 10105012001 is 10021050101.

10105012001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10105012001 is a prime.

It is a super-2 number, since 2×10105012001² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10105012009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42335 + ... + 148331.

It is an arithmetic number, because the mean of its divisors is an integer number (1443692760).

Almost surely, 2^10105012001 is an apocalyptic number.

It is an amenable number.

10105012001 is a deficient number, since it is larger than the sum of its proper divisors (1444530079).

10105012001 is a wasteful number, since it uses less digits than its factorization.

10105012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119623.

The product of its (nonzero) digits is 10, while the sum is 11.

Adding to 10105012001 its reverse (10021050101), we get a palindrome (20126062102).

The spelling of 10105012001 in words is "ten billion, one hundred five million, twelve thousand, one".