1010410001001 has 24 divisors (see below), whose sum is σ = 1468250401800. Its totient is φ = 669561071616.

The previous prime is 1010410000991. The next prime is 1010410001071. The reversal of 1010410001001 is 1001000140101.

It can be written as a sum of positive squares in 4 ways, for example, as 174189369600 + 836220631401 = 417360^2 + 914451^2 .

It is not a de Polignac number, because 1010410001001 - 2⁶ = 1010410000937 is a prime.

It is a super-3 number, since 3×1010410001001³ (a number of 37 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1010410001071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7011465 + ... + 7154121.

It is an arithmetic number, because the mean of its divisors is an integer number (61177100075).

Almost surely, 2^{1010410001001} is an apocalyptic number.

It is an amenable number.

1010410001001 is a deficient number, since it is larger than the sum of its proper divisors (457840400799).

1010410001001 is a wasteful number, since it uses less digits than its factorization.

1010410001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147385 (or 147382 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1010410001001 its reverse (1001000140101), we get a palindrome (2011410141102).

The spelling of 1010410001001 in words is "one trillion, ten billion, four hundred ten million, one thousand, one".