100201311221 has 8 divisors (see below), whose sum is σ = 109322333184. Its totient is φ = 91082257920.

The previous prime is 100201311187. The next prime is 100201311233. The reversal of 100201311221 is 122113102001.

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 100201311221 - 2²² = 100197116917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100201311196 and 100201311205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201311251) 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, 384716 + ... + 590261.

It is an arithmetic number, because the mean of its divisors is an integer number (13665291648).

Almost surely, 2^100201311221 is an apocalyptic number.

100201311221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100201311221 is a deficient number, since it is larger than the sum of its proper divisors (9121021963).

100201311221 is an equidigital number, since it uses as much as digits as its factorization.

100201311221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984331.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100201311221 its reverse (122113102001), we get a palindrome (222314413222).

The spelling of 100201311221 in words is "one hundred billion, two hundred one million, three hundred eleven thousand, two hundred twenty-one".