100114340241041 has 32 divisors (see below), whose sum is σ = 114913188741120. Its totient is φ = 85440562560000.

The previous prime is 100114340241037. The next prime is 100114340241049. The reversal of 100114340241041 is 140142043411001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100114340241041 - 2² = 100114340241037 is a prime.

It is a super-2 number, since 2×100114340241041² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100114340241041.

It is not an unprimeable number, because it can be changed into a prime (100114340241049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4171245041 + ... + 4171269041.

It is an arithmetic number, because the mean of its divisors is an integer number (3591037148160).

Almost surely, 2^{100114340241041} is an apocalyptic number.

It is an amenable number.

100114340241041 is a deficient number, since it is larger than the sum of its proper divisors (14798848500079).

100114340241041 is a wasteful number, since it uses less digits than its factorization.

100114340241041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26925.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 100114340241041 its reverse (140142043411001), we get a palindrome (240256383652042).

The spelling of 100114340241041 in words is "one hundred trillion, one hundred fourteen billion, three hundred forty million, two hundred forty-one thousand, forty-one".