100241406541001 has 16 divisors (see below), whose sum is σ = 109655820828288. Its totient is φ = 90877440326400.

The previous prime is 100241406540901. The next prime is 100241406541123. The reversal of 100241406541001 is 100145604142001.

It is a cyclic number.

It is not a de Polignac number, because 100241406541001 - 2¹⁴ = 100241406524617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100241406561001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5950796 + ... + 15358866.

It is an arithmetic number, because the mean of its divisors is an integer number (6853488801768).

Almost surely, 2^{100241406541001} is an apocalyptic number.

100241406541001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100241406541001 is a deficient number, since it is larger than the sum of its proper divisors (9414414287287).

100241406541001 is a wasteful number, since it uses less digits than its factorization.

100241406541001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9410752.

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 100241406541001 in words is "one hundred trillion, two hundred forty-one billion, four hundred six million, five hundred forty-one thousand, one".