100144002100221 has 10 divisors (see below), whose sum is σ = 149597830297982. Its totient is φ = 66762668066760.

The previous prime is 100144002100069. The next prime is 100144002100301. The reversal of 100144002100221 is 122001200441001.

100144002100221 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 440 + 0 + 2 + 1 + 0 + 0 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100050206300100 + 93795800121 = 10002510^2 + 306261^2 .

It is not a de Polignac number, because 100144002100221 - 2⁹ = 100144002099709 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100144002100194 and 100144002100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100144002100421) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 618172852390 + ... + 618172852551.

Almost surely, 2^{100144002100221} is an apocalyptic number.

It is an amenable number.

100144002100221 is a deficient number, since it is larger than the sum of its proper divisors (49453828197761).

100144002100221 is an equidigital number, since it uses as much as digits as its factorization.

100144002100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236345704953 (or 1236345704944 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100144002100221 its reverse (122001200441001), we get a palindrome (222145202541222).

The spelling of 100144002100221 in words is "one hundred trillion, one hundred forty-four billion, two million, one hundred thousand, two hundred twenty-one".