10100040641 has 8 divisors (see below), whose sum is σ = 10202060544. Its totient is φ = 9998097120.

The previous prime is 10100040593. The next prime is 10100040673. The reversal of 10100040641 is 14604000101.

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 10100040641 - 2¹⁸ = 10099778497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100040541) 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 7 ways as a sum of consecutive naturals, for example, 268376 + ... + 303686.

It is an arithmetic number, because the mean of its divisors is an integer number (1275257568).

Almost surely, 2^10100040641 is an apocalyptic number.

It is an amenable number.

10100040641 is a deficient number, since it is larger than the sum of its proper divisors (102019903).

10100040641 is a wasteful number, since it uses less digits than its factorization.

10100040641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38191.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10100040641 its reverse (14604000101), we get a palindrome (24704040742).

The spelling of 10100040641 in words is "ten billion, one hundred million, forty thousand, six hundred forty-one".