10500001001 has 16 divisors (see below), whose sum is σ = 12159952896. Its totient is φ = 8880592896.

The previous prime is 10500000911. The next prime is 10500001003. The reversal of 10500001001 is 10010000501.

It is a happy number.

It is not a de Polignac number, because 10500001001 - 2¹⁴ = 10499984617 is a prime.

It is a super-2 number, since 2×10500001001² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10500001001.

It is not an unprimeable number, because it can be changed into a prime (10500001003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205880 + ... + 251766.

It is an arithmetic number, because the mean of its divisors is an integer number (759997056).

Almost surely, 2^10500001001 is an apocalyptic number.

It is an amenable number.

10500001001 is a deficient number, since it is larger than the sum of its proper divisors (1659951895).

10500001001 is an equidigital number, since it uses as much as digits as its factorization.

10500001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46328.

The product of its (nonzero) digits is 5, while the sum is 8.

Adding to 10500001001 its reverse (10010000501), we get a palindrome (20510001502).

The spelling of 10500001001 in words is "ten billion, five hundred million, one thousand, one".