103001011001 has 12 divisors (see below), whose sum is σ = 119826200052. Its totient is φ = 88280172288.

The previous prime is 103001010991. The next prime is 103001011037. The reversal of 103001011001 is 100110100301.

It can be written as a sum of positive squares in 2 ways, for example, as 40200651001 + 62800360000 = 200501^2 + 250600^2 .

It is not a de Polignac number, because 103001011001 - 2²² = 102996816697 is a prime.

It is a super-3 number, since 3×103001011001³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103001011001.

It is not an unprimeable number, because it can be changed into a prime (103001011081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 681701 + ... + 818973.

It is an arithmetic number, because the mean of its divisors is an integer number (9985516671).

Almost surely, 2^103001011001 is an apocalyptic number.

It is an amenable number.

103001011001 is a deficient number, since it is larger than the sum of its proper divisors (16825189051).

103001011001 is a wasteful number, since it uses less digits than its factorization.

103001011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152600 (or 152593 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 103001011001 its reverse (100110100301), we get a palindrome (203111111302).

The spelling of 103001011001 in words is "one hundred three billion, one million, eleven thousand, one".