100201021002221 has 8 divisors (see below), whose sum is σ = 107834464261944. Its totient is φ = 92760829470720.

The previous prime is 100201021002179. The next prime is 100201021002241. The reversal of 100201021002221 is 122200120102001.

It can be written as a sum of positive squares in 4 ways, for example, as 6561743328100 + 93639277674121 = 2561590^2 + 9676739^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100201021002221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100201021002196 and 100201021002205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201021002241) 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, 48312930980 + ... + 48312933053.

It is an arithmetic number, because the mean of its divisors is an integer number (13479308032743).

Almost surely, 2^{100201021002221} is an apocalyptic number.

It is an amenable number.

100201021002221 is a deficient number, since it is larger than the sum of its proper divisors (7633443259723).

100201021002221 is an equidigital number, since it uses as much as digits as its factorization.

100201021002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96625864111.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100201021002221 its reverse (122200120102001), we get a palindrome (222401141104222).

The spelling of 100201021002221 in words is "one hundred trillion, two hundred one billion, twenty-one million, two thousand, two hundred twenty-one".