100144203232201 has 8 divisors (see below), whose sum is σ = 100304595908424. Its totient is φ = 99983832063360.

The previous prime is 100144203232189. The next prime is 100144203232207. The reversal of 100144203232201 is 102232302441001.

It can be written as a sum of positive squares in 4 ways, for example, as 684491475600 + 99459711756601 = 827340^2 + 9972949^2 .

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 100144203232201 - 2¹⁵ = 100144203199433 is a prime.

It is a super-2 number, since 2×100144203232201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100144203232207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3956115 + ... + 14694871.

It is an arithmetic number, because the mean of its divisors is an integer number (12538074488553).

Almost surely, 2^{100144203232201} is an apocalyptic number.

It is an amenable number.

100144203232201 is a deficient number, since it is larger than the sum of its proper divisors (160392676223).

100144203232201 is a wasteful number, since it uses less digits than its factorization.

100144203232201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10753691.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 100144203232201 its reverse (102232302441001), we get a palindrome (202376505673202).

The spelling of 100144203232201 in words is "one hundred trillion, one hundred forty-four billion, two hundred three million, two hundred thirty-two thousand, two hundred one".