1001000901041 has 8 divisors (see below), whose sum is σ = 1003380305640. Its totient is φ = 998623116288.

The previous prime is 1001000901029. The next prime is 1001000901049. The reversal of 1001000901041 is 1401090001001.

It can be written as a sum of positive squares in 4 ways, for example, as 710691150625 + 290309750416 = 843025^2 + 538804^2 .

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 1001000901041 - 2¹⁴ = 1001000884657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001000901049) 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, 836945 + ... + 1643921.

It is an arithmetic number, because the mean of its divisors is an integer number (125422538205).

Almost surely, 2^{1001000901041} is an apocalyptic number.

It is an amenable number.

1001000901041 is a deficient number, since it is larger than the sum of its proper divisors (2379404599).

1001000901041 is an equidigital number, since it uses as much as digits as its factorization.

1001000901041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809923.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 1001000901041 its reverse (1401090001001), we get a palindrome (2402090902042).

The spelling of 1001000901041 in words is "one trillion, one billion, nine hundred one thousand, forty-one".