100221101000201 has 8 divisors (see below), whose sum is σ = 100388880743424. Its totient is φ = 100053324655200.

The previous prime is 100221101000197. The next prime is 100221101000213. The reversal of 100221101000201 is 102000101122001.

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 100221101000201 - 2² = 100221101000197 is a prime.

It is a super-3 number, since 3×100221101000201³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100221101009201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62081480 + ... + 63675366.

It is an arithmetic number, because the mean of its divisors is an integer number (12548610092928).

Almost surely, 2^{100221101000201} is an apocalyptic number.

It is an amenable number.

100221101000201 is a deficient number, since it is larger than the sum of its proper divisors (167779743223).

100221101000201 is a wasteful number, since it uses less digits than its factorization.

100221101000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699111.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100221101000201 its reverse (102000101122001), we get a palindrome (202221202122202).

The spelling of 100221101000201 in words is "one hundred trillion, two hundred twenty-one billion, one hundred one million, two hundred one", and thus it is an aban number.