10101001041 has 24 divisors (see below), whose sum is σ = 14850079296. Its totient is φ = 6614425440.

The previous prime is 10101001037. The next prime is 10101001123. The reversal of 10101001041 is 14010010101.

10101001041 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10101001041 - 2² = 10101001037 is a prime.

It is a super-3 number, since 3×10101001041³ (a number of 31 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 (10101001441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395526 + ... + 420288.

It is an arithmetic number, because the mean of its divisors is an integer number (618753304).

Almost surely, 2^10101001041 is an apocalyptic number.

It is an amenable number.

10101001041 is a deficient number, since it is larger than the sum of its proper divisors (4749078255).

10101001041 is a wasteful number, since it uses less digits than its factorization.

10101001041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25573 (or 25570 counting only the distinct ones).

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

Adding to 10101001041 its reverse (14010010101), we get a palindrome (24111011142).

The spelling of 10101001041 in words is "ten billion, one hundred one million, one thousand, forty-one".