10010501001 has 36 divisors (see below), whose sum is σ = 15135378804. Its totient is φ = 6371846400.

The previous prime is 10010500967. The next prime is 10010501003.

10010501001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 4298769225 + 5711731776 = 65565^2 + 75576^2 .

It is not a de Polignac number, because 10010501001 - 2⁶ = 10010500937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010501003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 808981 + ... + 821261.

It is an arithmetic number, because the mean of its divisors is an integer number (420427189).

Almost surely, 2^10010501001 is an apocalyptic number.

It is an amenable number.

10010501001 is a deficient number, since it is larger than the sum of its proper divisors (5124877803).

10010501001 is a wasteful number, since it uses less digits than its factorization.

10010501001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12422 (or 12372 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

The spelling of 10010501001 in words is "ten billion, ten million, five hundred one thousand, one".