100344441012201 has 48 divisors (see below), whose sum is σ = 145726339973760. Its totient is φ = 66535098624000.

The previous prime is 100344441012157. The next prime is 100344441012227. The reversal of 100344441012201 is 102210144443001.

100344441012201 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 4 + 4 + 441 + 0 + 12 + 201 = 666.

It is not a de Polignac number, because 100344441012201 - 2²⁵ = 100344407457769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100344441022201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5659895305 + ... + 5659913033.

It is an arithmetic number, because the mean of its divisors is an integer number (3035965416120).

Almost surely, 2^{100344441012201} is an apocalyptic number.

It is an amenable number.

100344441012201 is a deficient number, since it is larger than the sum of its proper divisors (45381898961559).

100344441012201 is a wasteful number, since it uses less digits than its factorization.

100344441012201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21406 (or 21403 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 100344441012201 its reverse (102210144443001), we get a palindrome (202554585455202).

The spelling of 100344441012201 in words is "one hundred trillion, three hundred forty-four billion, four hundred forty-one million, twelve thousand, two hundred one".